256345152624 has 320 divisors, whose sum is σ = 812714411520. Its totient is φ = 76717393920.

The previous prime is 256345152589. The next prime is 256345152631. The reversal of 256345152624 is 426251543652.

256345152624 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 4 + 5 + 15 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 256345152624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134000692 + ... + 134002604.

It is an arithmetic number, because the mean of its divisors is an integer number (2539732536).

Almost surely, 2^256345152624 is an apocalyptic number.

256345152624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256345152624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406357205760).

256345152624 is an abundant number, since it is smaller than the sum of its proper divisors (556369258896).

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

256345152624 is a wasteful number, since it uses less digits than its factorization.

256345152624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2265 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 256345152624 in words is "two hundred fifty-six billion, three hundred forty-five million, one hundred fifty-two thousand, six hundred twenty-four".