10456838657 has 16 divisors (see below), whose sum is σ = 11253496320. Its totient is φ = 9690956352.

The previous prime is 10456838653. The next prime is 10456838659. The reversal of 10456838657 is 75683865401.

It is a cyclic number.

It is not a de Polignac number, because 10456838657 - 2² = 10456838653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10456838599 and 10456838608.

It is not an unprimeable number, because it can be changed into a prime (10456838653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177683 + ... + 229095.

It is an arithmetic number, because the mean of its divisors is an integer number (703343520).

Almost surely, 2^10456838657 is an apocalyptic number.

It is an amenable number.

10456838657 is a deficient number, since it is larger than the sum of its proper divisors (796657663).

10456838657 is a wasteful number, since it uses less digits than its factorization.

10456838657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51712.

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 10456838657 in words is "ten billion, four hundred fifty-six million, eight hundred thirty-eight thousand, six hundred fifty-seven".