656620516004256 has 48 divisors (see below), whose sum is σ = 1915143171681600. Its totient is φ = 218873505334464.

The previous prime is 656620516004177. The next prime is 656620516004267. The reversal of 656620516004256 is 652400615026656.

It is a happy number.

656620516004256 is a `hidden beast` number, since 6 + 5 + 6 + 6 + 2 + 0 + 5 + 1 + 600 + 4 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×656620516004256² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379988723676 + ... + 379988725403.

It is an arithmetic number, because the mean of its divisors is an integer number (39898816076700).

Almost surely, 2^{656620516004256} is an apocalyptic number.

It is an amenable number.

656620516004256 is an abundant number, since it is smaller than the sum of its proper divisors (1258522655677344).

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

656620516004256 is a wasteful number, since it uses less digits than its factorization.

656620516004256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759977449098 (or 759977449084 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 656620516004256 in words is "six hundred fifty-six trillion, six hundred twenty billion, five hundred sixteen million, four thousand, two hundred fifty-six".