256142822832 has 200 divisors, whose sum is σ = 809627243040. Its totient is φ = 77702768640.

The previous prime is 256142822779. The next prime is 256142822851. The reversal of 256142822832 is 238228241652.

256142822832 is a `hidden beast` number, since 2 + 5 + 614 + 2 + 8 + 2 + 28 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1089144 + ... + 1303272.

Almost surely, 2^256142822832 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 256142822832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404813621520).

256142822832 is an abundant number, since it is smaller than the sum of its proper divisors (553484420208).

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

256142822832 is a wasteful number, since it uses less digits than its factorization.

256142822832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214233 (or 214218 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 256142822832 in words is "two hundred fifty-six billion, one hundred forty-two million, eight hundred twenty-two thousand, eight hundred thirty-two".