256393484393652 has 72 divisors (see below), whose sum is σ = 676394366828544. Its totient is φ = 81735337966656.

The previous prime is 256393484393623. The next prime is 256393484393671.

256393484393652 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 9 + 3 + 484 + 3 + 93 + 6 + 52 = 666.

256393484393652 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20117403 + ... + 30290210.

It is an arithmetic number, because the mean of its divisors is an integer number (9394366205952).

Almost surely, 2^{256393484393652} is an apocalyptic number.

It is an amenable number.

256393484393652 is an abundant number, since it is smaller than the sum of its proper divisors (420000882434892).

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

256393484393652 is a wasteful number, since it uses less digits than its factorization.

256393484393652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50413789 (or 50413784 counting only the distinct ones).

The product of its digits is 3023308800, while the sum is 72.

The spelling of 256393484393652 in words is "two hundred fifty-six trillion, three hundred ninety-three billion, four hundred eighty-four million, three hundred ninety-three thousand, six hundred fifty-two".