656459808954656 has 192 divisors, whose sum is σ = 1517254971724800. Its totient is φ = 273731791205376.

The previous prime is 656459808954647. The next prime is 656459808954659.

It is a happy number.

656459808954656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (86).

It is not an unprimeable number, because it can be changed into a prime (656459808954659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2563977815 + ... + 2564233833.

It is an arithmetic number, because the mean of its divisors is an integer number (7902369644400).

Almost surely, 2^{656459808954656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656459808954656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758627485862400).

656459808954656 is an abundant number, since it is smaller than the sum of its proper divisors (860795162770144).

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

656459808954656 is a wasteful number, since it uses less digits than its factorization.

656459808954656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257111 (or 257103 counting only the distinct ones).

The product of its (nonzero) digits is 67184640000, while the sum is 86.

The spelling of 656459808954656 in words is "six hundred fifty-six trillion, four hundred fifty-nine billion, eight hundred eight million, nine hundred fifty-four thousand, six hundred fifty-six".