256046979584 has 80 divisors (see below), whose sum is σ = 560996504640. Its totient is φ = 115781468160.

The previous prime is 256046979557. The next prime is 256046979667. The reversal of 256046979584 is 485979640652.

256046979584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256046979584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969197 + ... + 1204755.

It is an arithmetic number, because the mean of its divisors is an integer number (7012456308).

Almost surely, 2^256046979584 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 256046979584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280498252320).

256046979584 is an abundant number, since it is smaller than the sum of its proper divisors (304949525056).

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

256046979584 is a wasteful number, since it uses less digits than its factorization.

256046979584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235781 (or 235765 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 65.

The spelling of 256046979584 in words is "two hundred fifty-six billion, forty-six million, nine hundred seventy-nine thousand, five hundred eighty-four".