256322829379824 has 120 divisors (see below), whose sum is σ = 718316014416000. Its totient is φ = 85325647380480.

The previous prime is 256322829379801. The next prime is 256322829379867. The reversal of 256322829379824 is 428973928223652.

256322829379824 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 228 + 2 + 9 + 379 + 8 + 24 = 666.

It is a super-2 number, since 2×256322829379824² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2944537452 + ... + 2944624500.

It is an arithmetic number, because the mean of its divisors is an integer number (5985966786800).

Almost surely, 2^{256322829379824} is an apocalyptic number.

256322829379824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256322829379824 is an abundant number, since it is smaller than the sum of its proper divisors (461993185036176).

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

256322829379824 is a wasteful number, since it uses less digits than its factorization.

256322829379824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114423 (or 114414 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 256322829379824 in words is "two hundred fifty-six trillion, three hundred twenty-two billion, eight hundred twenty-nine million, three hundred seventy-nine thousand, eight hundred twenty-four".