656425808524656 has 60 divisors (see below), whose sum is σ = 1840915802806080. Its totient is φ = 218351799889920.

The previous prime is 656425808524567. The next prime is 656425808524657.

656425808524656 is a `hidden beast` number, since 6 + 5 + 6 + 4 + 2 + 5 + 80 + 85 + 2 + 465 + 6 = 666.

656425808524656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656425808524657) 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, 4758294865 + ... + 4758432816.

It is an arithmetic number, because the mean of its divisors is an integer number (30681930046768).

Almost surely, 2^{656425808524656} is an apocalyptic number.

It is an amenable number.

656425808524656 is an abundant number, since it is smaller than the sum of its proper divisors (1184489994281424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

656425808524656 is a wasteful number, since it uses less digits than its factorization.

656425808524656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9516728174 (or 9516728165 counting only the distinct ones).

The product of its (nonzero) digits is 3317760000, while the sum is 72.

The spelling of 656425808524656 in words is "six hundred fifty-six trillion, four hundred twenty-five billion, eight hundred eight million, five hundred twenty-four thousand, six hundred fifty-six".