256733340344625 has 128 divisors (see below), whose sum is σ = 432600947490816. Its totient is φ = 135203040000000.

The previous prime is 256733340344617. The next prime is 256733340344653. The reversal of 256733340344625 is 526443043337652.

It is a happy number.

It is not a de Polignac number, because 256733340344625 - 2³ = 256733340344617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19521956800 + ... + 19521969950.

It is an arithmetic number, because the mean of its divisors is an integer number (3379694902272).

Almost surely, 2^{256733340344625} is an apocalyptic number.

256733340344625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256733340344625 is a deficient number, since it is larger than the sum of its proper divisors (175867607146191).

256733340344625 is a wasteful number, since it uses less digits than its factorization.

256733340344625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14696 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 57.

The spelling of 256733340344625 in words is "two hundred fifty-six trillion, seven hundred thirty-three billion, three hundred forty million, three hundred forty-four thousand, six hundred twenty-five".