656472444274656 has 36 divisors (see below), whose sum is σ = 1866843513406872. Its totient is φ = 218824148091456.

The previous prime is 656472444274637. The next prime is 656472444274697.

656472444274656 is a `hidden beast` number, since 6 + 5 + 6 + 4 + 72 + 44 + 427 + 46 + 56 = 666.

656472444274656 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1139709104356 + ... + 1139709104931.

It is an arithmetic number, because the mean of its divisors is an integer number (51856764261302).

Almost surely, 2^{656472444274656} is an apocalyptic number.

It is an amenable number.

656472444274656 is an abundant number, since it is smaller than the sum of its proper divisors (1210371069132216).

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

656472444274656 is a wasteful number, since it uses less digits than its factorization.

656472444274656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279418209303 (or 2279418209292 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 72.

The spelling of 656472444274656 in words is "six hundred fifty-six trillion, four hundred seventy-two billion, four hundred forty-four million, two hundred seventy-four thousand, six hundred fifty-six".