diff --git a/src/AggregateFunctions/AggregateFunctionGroupBitmap.cpp b/src/AggregateFunctions/AggregateFunctionGroupBitmap.cpp
index 1a8588f5af8..71eb3e8c7da 100644
--- a/src/AggregateFunctions/AggregateFunctionGroupBitmap.cpp
+++ b/src/AggregateFunctions/AggregateFunctionGroupBitmap.cpp
@@ -74,7 +74,7 @@ namespace
         /// groupBitmap needs to know about the data type that was used to create bitmaps.
         /// We need to look inside the type of its argument to obtain it.
         const DataTypeAggregateFunction & datatype_aggfunc = dynamic_cast<const DataTypeAggregateFunction &>(*argument_type_ptr);
-        ConstAggregateFunctionPtr aggfunc = datatype_aggfunc.getFunction();
+        AggregateFunctionPtr aggfunc = datatype_aggfunc.getFunction();
 
         if (aggfunc->getName() != AggregateFunctionGroupBitmapData<UInt8>::name())
             throw Exception(
diff --git a/src/AggregateFunctions/IAggregateFunction.h b/src/AggregateFunctions/IAggregateFunction.h
index 602c2bb661e..1df5b67b155 100644
--- a/src/AggregateFunctions/IAggregateFunction.h
+++ b/src/AggregateFunctions/IAggregateFunction.h
@@ -49,8 +49,7 @@ using AggregateDataPtr = char *;
 using ConstAggregateDataPtr = const char *;
 
 class IAggregateFunction;
-using AggregateFunctionPtr = std::shared_ptr<IAggregateFunction>;
-using ConstAggregateFunctionPtr = std::shared_ptr<const IAggregateFunction>;
+using AggregateFunctionPtr = std::shared_ptr<const IAggregateFunction>;
 
 struct AggregateFunctionProperties;
 
diff --git a/src/Analyzer/FunctionNode.cpp b/src/Analyzer/FunctionNode.cpp
index 607243b620d..36e4f1fc69b 100644
--- a/src/Analyzer/FunctionNode.cpp
+++ b/src/Analyzer/FunctionNode.cpp
@@ -40,12 +40,12 @@ ColumnsWithTypeAndName FunctionNode::getArgumentTypes() const
 
 FunctionBasePtr FunctionNode::getFunction() const
 {
-    return std::dynamic_pointer_cast<IFunctionBase>(function);
+    return std::dynamic_pointer_cast<const IFunctionBase>(function);
 }
 
 AggregateFunctionPtr FunctionNode::getAggregateFunction() const
 {
-    return std::dynamic_pointer_cast<IAggregateFunction>(function);
+    return std::dynamic_pointer_cast<const IAggregateFunction>(function);
 }
 
 bool FunctionNode::isAggregateFunction() const
diff --git a/src/Analyzer/FunctionNode.h b/src/Analyzer/FunctionNode.h
index 99c8d904cfb..3a8c5445375 100644
--- a/src/Analyzer/FunctionNode.h
+++ b/src/Analyzer/FunctionNode.h
@@ -15,10 +15,10 @@ class IFunctionOverloadResolver;
 using FunctionOverloadResolverPtr = std::shared_ptr<IFunctionOverloadResolver>;
 
 class IFunctionBase;
-using FunctionBasePtr = std::shared_ptr<IFunctionBase>;
+using FunctionBasePtr = std::shared_ptr<const IFunctionBase>;
 
 class IAggregateFunction;
-using AggregateFunctionPtr = std::shared_ptr<IAggregateFunction>;
+using AggregateFunctionPtr = std::shared_ptr<const IAggregateFunction>;
 
 /** Function node represents function in query tree.
   * Function syntax: function_name(parameter_1, ...)(argument_1, ...).
diff --git a/src/Columns/ColumnAggregateFunction.cpp b/src/Columns/ColumnAggregateFunction.cpp
index f80955646a3..58643f7a9b7 100644
--- a/src/Columns/ColumnAggregateFunction.cpp
+++ b/src/Columns/ColumnAggregateFunction.cpp
@@ -28,7 +28,7 @@ namespace ErrorCodes
 }
 
 
-static String getTypeString(const ConstAggregateFunctionPtr & func, std::optional<size_t> version = std::nullopt)
+static String getTypeString(const AggregateFunctionPtr & func, std::optional<size_t> version = std::nullopt)
 {
     WriteBufferFromOwnString stream;
 
@@ -62,18 +62,18 @@ static String getTypeString(const ConstAggregateFunctionPtr & func, std::optiona
 }
 
 
-ColumnAggregateFunction::ColumnAggregateFunction(const ConstAggregateFunctionPtr & func_, std::optional<size_t> version_)
+ColumnAggregateFunction::ColumnAggregateFunction(const AggregateFunctionPtr & func_, std::optional<size_t> version_)
     : func(func_), type_string(getTypeString(func, version_)), version(version_)
 {
 }
 
-ColumnAggregateFunction::ColumnAggregateFunction(const ConstAggregateFunctionPtr & func_, const ConstArenas & arenas_)
+ColumnAggregateFunction::ColumnAggregateFunction(const AggregateFunctionPtr & func_, const ConstArenas & arenas_)
     : foreign_arenas(arenas_), func(func_), type_string(getTypeString(func))
 {
 
 }
 
-void ColumnAggregateFunction::set(const ConstAggregateFunctionPtr & func_, size_t version_)
+void ColumnAggregateFunction::set(const AggregateFunctionPtr & func_, size_t version_)
 {
     func = func_;
     version = version_;
diff --git a/src/Columns/ColumnAggregateFunction.h b/src/Columns/ColumnAggregateFunction.h
index 90bfdc581c1..1c46c60a16d 100644
--- a/src/Columns/ColumnAggregateFunction.h
+++ b/src/Columns/ColumnAggregateFunction.h
@@ -70,7 +70,7 @@ private:
     ArenaPtr my_arena;
 
     /// Used for destroying states and for finalization of values.
-    ConstAggregateFunctionPtr func;
+    AggregateFunctionPtr func;
 
     /// Source column. Used (holds source from destruction),
     ///  if this column has been constructed from another and uses all or part of its values.
@@ -92,9 +92,9 @@ private:
     /// Create a new column that has another column as a source.
     MutablePtr createView() const;
 
-    explicit ColumnAggregateFunction(const ConstAggregateFunctionPtr & func_, std::optional<size_t> version_ = std::nullopt);
+    explicit ColumnAggregateFunction(const AggregateFunctionPtr & func_, std::optional<size_t> version_ = std::nullopt);
 
-    ColumnAggregateFunction(const ConstAggregateFunctionPtr & func_, const ConstArenas & arenas_);
+    ColumnAggregateFunction(const AggregateFunctionPtr & func_, const ConstArenas & arenas_);
 
     ColumnAggregateFunction(const ColumnAggregateFunction & src_);
 
@@ -103,10 +103,10 @@ private:
 public:
     ~ColumnAggregateFunction() override;
 
-    void set(const ConstAggregateFunctionPtr & func_, size_t version_);
+    void set(const AggregateFunctionPtr & func_, size_t version_);
 
-    ConstAggregateFunctionPtr getAggregateFunction() { return func; }
-    ConstAggregateFunctionPtr getAggregateFunction() const { return func; }
+    AggregateFunctionPtr getAggregateFunction() { return func; }
+    AggregateFunctionPtr getAggregateFunction() const { return func; }
 
     /// If we have another column as a source (owner of data), copy all data to ourself and reset source.
     /// This is needed before inserting new elements, because we must own these elements (to destroy them in destructor),
diff --git a/src/Columns/ColumnFunction.h b/src/Columns/ColumnFunction.h
index 4781406c3b9..257bd1146fd 100644
--- a/src/Columns/ColumnFunction.h
+++ b/src/Columns/ColumnFunction.h
@@ -13,7 +13,7 @@ namespace ErrorCodes
 }
 
 class IFunctionBase;
-using FunctionBasePtr = std::shared_ptr<IFunctionBase>;
+using FunctionBasePtr = std::shared_ptr<const IFunctionBase>;
 
 /** A column containing a lambda expression.
   * Behaves like a constant-column. Contains an expression, but not input or output data.
diff --git a/src/Core/IResolvedFunction.h b/src/Core/IResolvedFunction.h
index fe15f39615b..64c69f597c7 100644
--- a/src/Core/IResolvedFunction.h
+++ b/src/Core/IResolvedFunction.h
@@ -24,6 +24,6 @@ public:
     virtual ~IResolvedFunction() = default;
 };
 
-using IResolvedFunctionPtr = std::shared_ptr<IResolvedFunction>;
+using IResolvedFunctionPtr = std::shared_ptr<const IResolvedFunction>;
 
 }
diff --git a/src/DataTypes/DataTypeAggregateFunction.h b/src/DataTypes/DataTypeAggregateFunction.h
index 50d3fb6375f..2d712d9c686 100644
--- a/src/DataTypes/DataTypeAggregateFunction.h
+++ b/src/DataTypes/DataTypeAggregateFunction.h
@@ -19,7 +19,7 @@ namespace DB
 class DataTypeAggregateFunction final : public IDataType
 {
 private:
-    ConstAggregateFunctionPtr function;
+    AggregateFunctionPtr function;
     DataTypes argument_types;
     Array parameters;
     mutable std::optional<size_t> version;
@@ -30,7 +30,7 @@ private:
 public:
     static constexpr bool is_parametric = true;
 
-    DataTypeAggregateFunction(ConstAggregateFunctionPtr function_, const DataTypes & argument_types_,
+    DataTypeAggregateFunction(AggregateFunctionPtr function_, const DataTypes & argument_types_,
                               const Array & parameters_, std::optional<size_t> version_ = std::nullopt)
         : function(std::move(function_))
         , argument_types(argument_types_)
@@ -40,7 +40,7 @@ public:
     }
 
     String getFunctionName() const { return function->getName(); }
-    ConstAggregateFunctionPtr getFunction() const { return function; }
+    AggregateFunctionPtr getFunction() const { return function; }
 
     String doGetName() const override;
     String getNameWithoutVersion() const;
diff --git a/src/DataTypes/Serializations/SerializationAggregateFunction.cpp b/src/DataTypes/Serializations/SerializationAggregateFunction.cpp
index 39305ad4bcb..7e192595114 100644
--- a/src/DataTypes/Serializations/SerializationAggregateFunction.cpp
+++ b/src/DataTypes/Serializations/SerializationAggregateFunction.cpp
@@ -108,14 +108,14 @@ void SerializationAggregateFunction::deserializeBinaryBulk(IColumn & column, Rea
     }
 }
 
-static String serializeToString(const ConstAggregateFunctionPtr & function, const IColumn & column, size_t row_num, size_t version)
+static String serializeToString(const AggregateFunctionPtr & function, const IColumn & column, size_t row_num, size_t version)
 {
     WriteBufferFromOwnString buffer;
     function->serialize(assert_cast<const ColumnAggregateFunction &>(column).getData()[row_num], buffer, version);
     return buffer.str();
 }
 
-static void deserializeFromString(const ConstAggregateFunctionPtr & function, IColumn & column, const String & s, size_t version)
+static void deserializeFromString(const AggregateFunctionPtr & function, IColumn & column, const String & s, size_t version)
 {
     ColumnAggregateFunction & column_concrete = assert_cast<ColumnAggregateFunction &>(column);
 
diff --git a/src/DataTypes/Serializations/SerializationAggregateFunction.h b/src/DataTypes/Serializations/SerializationAggregateFunction.h
index a3a427f1b2d..4212298bbc1 100644
--- a/src/DataTypes/Serializations/SerializationAggregateFunction.h
+++ b/src/DataTypes/Serializations/SerializationAggregateFunction.h
@@ -11,14 +11,14 @@ namespace DB
 class SerializationAggregateFunction final : public ISerialization
 {
 private:
-    ConstAggregateFunctionPtr function;
+    AggregateFunctionPtr function;
     String type_name;
     size_t version;
 
 public:
     static constexpr bool is_parametric = true;
 
-    SerializationAggregateFunction(const ConstAggregateFunctionPtr & function_, String type_name_, size_t version_)
+    SerializationAggregateFunction(const AggregateFunctionPtr & function_, String type_name_, size_t version_)
         : function(function_), type_name(std::move(type_name_)), version(version_) {}
 
     /// NOTE These two functions for serializing single values are incompatible with the functions below.
diff --git a/src/Formats/ProtobufSerializer.cpp b/src/Formats/ProtobufSerializer.cpp
index 88febc5a090..48332deedfb 100644
--- a/src/Formats/ProtobufSerializer.cpp
+++ b/src/Formats/ProtobufSerializer.cpp
@@ -1736,7 +1736,7 @@ namespace
         }
 
         const std::shared_ptr<const DataTypeAggregateFunction> aggregate_function_data_type;
-        ConstAggregateFunctionPtr aggregate_function;
+        AggregateFunctionPtr aggregate_function;
         String text_buffer;
     };
 
diff --git a/src/Functions/FunctionBinaryArithmetic.h b/src/Functions/FunctionBinaryArithmetic.h
index 7eaecc10597..0a79ac3b0d9 100644
--- a/src/Functions/FunctionBinaryArithmetic.h
+++ b/src/Functions/FunctionBinaryArithmetic.h
@@ -895,7 +895,7 @@ class FunctionBinaryArithmetic : public IFunction
         const ColumnAggregateFunction & column = typeid_cast<const ColumnAggregateFunction &>(
             agg_state_is_const ? assert_cast<const ColumnConst &>(agg_state_column).getDataColumn() : agg_state_column);
 
-        ConstAggregateFunctionPtr function = column.getAggregateFunction();
+        AggregateFunctionPtr function = column.getAggregateFunction();
 
         size_t size = agg_state_is_const ? 1 : input_rows_count;
 
@@ -960,7 +960,7 @@ class FunctionBinaryArithmetic : public IFunction
         const ColumnAggregateFunction & rhs = typeid_cast<const ColumnAggregateFunction &>(
             rhs_is_const ? assert_cast<const ColumnConst &>(rhs_column).getDataColumn() : rhs_column);
 
-        ConstAggregateFunctionPtr function = lhs.getAggregateFunction();
+        AggregateFunctionPtr function = lhs.getAggregateFunction();
 
         size_t size = (lhs_is_const && rhs_is_const) ? 1 : input_rows_count;
 
diff --git a/src/Functions/IFunction.h b/src/Functions/IFunction.h
index 96427030684..e82b98f0084 100644
--- a/src/Functions/IFunction.h
+++ b/src/Functions/IFunction.h
@@ -285,7 +285,7 @@ public:
 
 };
 
-using FunctionBasePtr = std::shared_ptr<IFunctionBase>;
+using FunctionBasePtr = std::shared_ptr<const IFunctionBase>;
 
 
 /** Creates IFunctionBase from argument types list (chooses one function overload).
diff --git a/src/Functions/runningAccumulate.cpp b/src/Functions/runningAccumulate.cpp
index bdb497c029c..a72f97db9a6 100644
--- a/src/Functions/runningAccumulate.cpp
+++ b/src/Functions/runningAccumulate.cpp
@@ -91,7 +91,7 @@ public:
         if (arguments.size() == 2)
             column_with_groups = arguments[1].column;
 
-        ConstAggregateFunctionPtr aggregate_function_ptr = column_with_states->getAggregateFunction();
+        AggregateFunctionPtr aggregate_function_ptr = column_with_states->getAggregateFunction();
         const IAggregateFunction & agg_func = *aggregate_function_ptr;
 
         AlignedBuffer place(agg_func.sizeOfData(), agg_func.alignOfData());
diff --git a/src/Interpreters/ActionsDAG.h b/src/Interpreters/ActionsDAG.h
index bab6467729f..a1316c5ff11 100644
--- a/src/Interpreters/ActionsDAG.h
+++ b/src/Interpreters/ActionsDAG.h
@@ -17,7 +17,7 @@ class IExecutableFunction;
 using ExecutableFunctionPtr = std::shared_ptr<IExecutableFunction>;
 
 class IFunctionBase;
-using FunctionBasePtr = std::shared_ptr<IFunctionBase>;
+using FunctionBasePtr = std::shared_ptr<const IFunctionBase>;
 
 class IFunctionOverloadResolver;
 using FunctionOverloadResolverPtr = std::shared_ptr<IFunctionOverloadResolver>;
diff --git a/src/Interpreters/ExpressionJIT.cpp b/src/Interpreters/ExpressionJIT.cpp
index 3a2c2e333a9..e32f8eeab57 100644
--- a/src/Interpreters/ExpressionJIT.cpp
+++ b/src/Interpreters/ExpressionJIT.cpp
@@ -263,7 +263,7 @@ public:
         return result;
     }
 
-    static void applyFunction(IFunctionBase & function, Field & value)
+    static void applyFunction(const IFunctionBase & function, Field & value)
     {
         const auto & type = function.getArgumentTypes().at(0);
         ColumnsWithTypeAndName args{{type->createColumnConst(1, value), type, "x" }};
diff --git a/src/Interpreters/Set.h b/src/Interpreters/Set.h
index 44f543ce222..bafb0dcea7a 100644
--- a/src/Interpreters/Set.h
+++ b/src/Interpreters/Set.h
@@ -18,7 +18,7 @@ struct Range;
 
 class Context;
 class IFunctionBase;
-using FunctionBasePtr = std::shared_ptr<IFunctionBase>;
+using FunctionBasePtr = std::shared_ptr<const IFunctionBase>;
 
 class Chunk;
 
diff --git a/src/Storages/MergeTree/KeyCondition.cpp b/src/Storages/MergeTree/KeyCondition.cpp
index 491fcba6d7b..7688fad5311 100644
--- a/src/Storages/MergeTree/KeyCondition.cpp
+++ b/src/Storages/MergeTree/KeyCondition.cpp
@@ -945,7 +945,7 @@ bool KeyCondition::transformConstantWithValidFunctions(
     DataTypePtr & out_key_column_type,
     Field & out_value,
     DataTypePtr & out_type,
-    std::function<bool(IFunctionBase &, const IDataType &)> always_monotonic) const
+    std::function<bool(const IFunctionBase &, const IDataType &)> always_monotonic) const
 {
     const auto & sample_block = key_expr->getSampleBlock();
 
@@ -1076,7 +1076,7 @@ bool KeyCondition::canConstantBeWrappedByMonotonicFunctions(
         out_key_column_type,
         out_value,
         out_type,
-        [](IFunctionBase & func, const IDataType & type)
+        [](const IFunctionBase & func, const IDataType & type)
         {
             if (!func.hasInformationAboutMonotonicity())
                 return false;
@@ -1131,7 +1131,7 @@ bool KeyCondition::canConstantBeWrappedByFunctions(
         out_key_column_type,
         out_value,
         out_type,
-        [](IFunctionBase & func, const IDataType &)
+        [](const IFunctionBase & func, const IDataType &)
         {
             return func.isDeterministic();
         });
diff --git a/src/Storages/MergeTree/KeyCondition.h b/src/Storages/MergeTree/KeyCondition.h
index 5c0d001bc10..ca9f4a4aea0 100644
--- a/src/Storages/MergeTree/KeyCondition.h
+++ b/src/Storages/MergeTree/KeyCondition.h
@@ -19,7 +19,7 @@ namespace DB
 class ASTFunction;
 class Context;
 class IFunction;
-using FunctionBasePtr = std::shared_ptr<IFunctionBase>;
+using FunctionBasePtr = std::shared_ptr<const IFunctionBase>;
 class ExpressionActions;
 using ExpressionActionsPtr = std::shared_ptr<ExpressionActions>;
 struct ActionDAGNodes;
@@ -427,7 +427,7 @@ private:
         DataTypePtr & out_key_column_type,
         Field & out_value,
         DataTypePtr & out_type,
-        std::function<bool(IFunctionBase &, const IDataType &)> always_monotonic) const;
+        std::function<bool(const IFunctionBase &, const IDataType &)> always_monotonic) const;
 
     bool canConstantBeWrappedByMonotonicFunctions(
         const RPNBuilderTreeNode & node,
diff --git a/src/Storages/TTLDescription.cpp b/src/Storages/TTLDescription.cpp
index 41c9c1996b1..2971d977099 100644
--- a/src/Storages/TTLDescription.cpp
+++ b/src/Storages/TTLDescription.cpp
@@ -61,7 +61,7 @@ void checkTTLExpression(const ExpressionActionsPtr & ttl_expression, const Strin
     {
         if (action.node->type == ActionsDAG::ActionType::FUNCTION)
         {
-            IFunctionBase & func = *action.node->function_base;
+            const IFunctionBase & func = *action.node->function_base;
             if (!func.isDeterministic())
                 throw Exception(
                     "TTL expression cannot contain non-deterministic functions, "