256047097872384 has 1536 divisors, whose sum is σ = 930701268806400. Its totient is φ = 66034996346880.

The previous prime is 256047097872343. The next prime is 256047097872421. The reversal of 256047097872384 is 483278790740652.

256047097872384 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 470 + 9 + 7 + 8 + 72 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374885940907 + ... + 374885941589.

Almost surely, 2^{256047097872384} is an apocalyptic number.

256047097872384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256047097872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465350634403200).

256047097872384 is an abundant number, since it is smaller than the sum of its proper divisors (674654170934016).

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

256047097872384 is a wasteful number, since it uses less digits than its factorization.

256047097872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 256047097872384 in words is "two hundred fifty-six trillion, forty-seven billion, ninety-seven million, eight hundred seventy-two thousand, three hundred eighty-four".