456913692257 has 12 divisors (see below), whose sum is σ = 502312212948. Its totient is φ = 415305976800.

The previous prime is 456913692229. The next prime is 456913692293. The reversal of 456913692257 is 752296319654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 211932250321 + 244981441936 = 460361^2 + 494956^2 .

It is a de Polignac number, because none of the positive numbers 2^k-456913692257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456913692196 and 456913692205.

It is not an unprimeable number, because it can be changed into a prime (456913692227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408023 + ... + 1039379.

It is an arithmetic number, because the mean of its divisors is an integer number (41859351079).

Almost surely, 2^456913692257 is an apocalyptic number.

It is an amenable number.

456913692257 is a deficient number, since it is larger than the sum of its proper divisors (45398520691).

456913692257 is a wasteful number, since it uses less digits than its factorization.

456913692257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637360 (or 637349 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 59.

The spelling of 456913692257 in words is "four hundred fifty-six billion, nine hundred thirteen million, six hundred ninety-two thousand, two hundred fifty-seven".