10644676765461 has 24 divisors (see below), whose sum is σ = 15383341559040. Its totient is φ = 7092899485056.

The previous prime is 10644676765453. The next prime is 10644676765543. The reversal of 10644676765461 is 16456767644601.

10644676765461 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 46 + 76 + 7 + 65 + 461 = 666.

10644676765461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10644676765461 - 2³ = 10644676765453 is a prime.

It is a super-2 number, since 2×10644676765461² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10644676765451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154318966 + ... + 154387928.

It is an arithmetic number, because the mean of its divisors is an integer number (640972564960).

Almost surely, 2^{10644676765461} is an apocalyptic number.

It is an amenable number.

10644676765461 is a deficient number, since it is larger than the sum of its proper divisors (4738664793579).

10644676765461 is a wasteful number, since it uses less digits than its factorization.

10644676765461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77305 (or 77302 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 10644676765461 in words is "ten trillion, six hundred forty-four billion, six hundred seventy-six million, seven hundred sixty-five thousand, four hundred sixty-one".