256518674496 has 280 divisors, whose sum is σ = 883767234240. Its totient is φ = 72048227328.

The previous prime is 256518674483. The next prime is 256518674497. The reversal of 256518674496 is 694476815652.

256518674496 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 186 + 7 + 449 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (256518674497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2081086 + ... + 2200898.

Almost surely, 2^256518674496 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 256518674496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441883617120).

256518674496 is an abundant number, since it is smaller than the sum of its proper divisors (627248559744).

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

256518674496 is a wasteful number, since it uses less digits than its factorization.

256518674496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119903 (or 119884 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 256518674496 in words is "two hundred fifty-six billion, five hundred eighteen million, six hundred seventy-four thousand, four hundred ninety-six".