256889242368 has 756 divisors, whose sum is σ = 892997849688. Its totient is φ = 73096888320.

The previous prime is 256889242349. The next prime is 256889242369. The reversal of 256889242368 is 863242988652.

256889242368 is a `hidden beast` number, since 2 + 5 + 68 + 8 + 92 + 423 + 68 = 666.

256889242368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (79626240) is a multiple of the sum of its prime factors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256889242369) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 593277480 + ... + 593277912.

Almost surely, 2^256889242368 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 256889242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446498924844).

256889242368 is an abundant number, since it is smaller than the sum of its proper divisors (636108607320).

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

256889242368 is an equidigital number, since it uses as much as digits as its factorization.

256889242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 466 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 256889242368 in words is "two hundred fifty-six billion, eight hundred eighty-nine million, two hundred forty-two thousand, three hundred sixty-eight".