256939332192 has 144 divisors (see below), whose sum is σ = 736113111552. Its totient is φ = 85009766400.

The previous prime is 256939332173. The next prime is 256939332203. The reversal of 256939332192 is 291233939652.

256939332192 is a `hidden beast` number, since 2 + 5 + 69 + 393 + 3 + 2 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 52041148 + ... + 52046084.

It is an arithmetic number, because the mean of its divisors is an integer number (5111896608).

Almost surely, 2^256939332192 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 256939332192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368056555776).

256939332192 is an abundant number, since it is smaller than the sum of its proper divisors (479173779360).

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

256939332192 is a wasteful number, since it uses less digits than its factorization.

256939332192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6250 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The spelling of 256939332192 in words is "two hundred fifty-six billion, nine hundred thirty-nine million, three hundred thirty-two thousand, one hundred ninety-two".