256506331617432 has 96 divisors (see below), whose sum is σ = 748570250937600. Its totient is φ = 78880001776128.

The previous prime is 256506331617427. The next prime is 256506331617433. The reversal of 256506331617432 is 234716133605652.

256506331617432 is a `hidden beast` number, since 2 + 5 + 6 + 506 + 3 + 3 + 1 + 61 + 74 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256506331617433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76523832 + ... + 79805447.

It is an arithmetic number, because the mean of its divisors is an integer number (7797606780600).

Almost surely, 2^{256506331617432} is an apocalyptic number.

It is an amenable number.

256506331617432 is an abundant number, since it is smaller than the sum of its proper divisors (492063919320168).

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

256506331617432 is a wasteful number, since it uses less digits than its factorization.

256506331617432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156331057 (or 156331050 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 256506331617432 in words is "two hundred fifty-six trillion, five hundred six billion, three hundred thirty-one million, six hundred seventeen thousand, four hundred thirty-two".