256979444625 has 96 divisors (see below), whose sum is σ = 468686050560. Its totient is φ = 135451008000.

The previous prime is 256979444573. The next prime is 256979444627. The reversal of 256979444625 is 526444979652.

256979444625 is a `hidden beast` number, since 2 + 5 + 69 + 79 + 44 + 462 + 5 = 666.

It is not a de Polignac number, because 256979444625 - 2⁷ = 256979444497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256979444627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111197220 + ... + 111199530.

It is an arithmetic number, because the mean of its divisors is an integer number (4882146360).

Almost surely, 2^256979444625 is an apocalyptic number.

256979444625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256979444625 is a deficient number, since it is larger than the sum of its proper divisors (211706605935).

256979444625 is a wasteful number, since it uses less digits than its factorization.

256979444625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3435 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 256979444625 in words is "two hundred fifty-six billion, nine hundred seventy-nine million, four hundred forty-four thousand, six hundred twenty-five".