256822742834784 has 1152 divisors, whose sum is σ = 942639615590400. Its totient is φ = 65945057181696.

The previous prime is 256822742834741. The next prime is 256822742834849. The reversal of 256822742834784 is 487438247228652.

256822742834784 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 2 + 2 + 74 + 2 + 83 + 478 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23676840049 + ... + 23676850895.

It is an arithmetic number, because the mean of its divisors is an integer number (818263555200).

Almost surely, 2^{256822742834784} is an apocalyptic number.

256822742834784 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 256822742834784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471319807795200).

256822742834784 is an abundant number, since it is smaller than the sum of its proper divisors (685816872755616).

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

256822742834784 is a wasteful number, since it uses less digits than its factorization.

256822742834784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11537 (or 11512 counting only the distinct ones).

The product of its digits is 2312110080, while the sum is 72.

The spelling of 256822742834784 in words is "two hundred fifty-six trillion, eight hundred twenty-two billion, seven hundred forty-two million, eight hundred thirty-four thousand, seven hundred eighty-four".