256384854208 has 224 divisors, whose sum is σ = 620406468608. Its totient is φ = 102792499200.

The previous prime is 256384854199. The next prime is 256384854223. The reversal of 256384854208 is 802458483652.

256384854208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 83756998 + ... + 83760058.

Almost surely, 2^256384854208 is an apocalyptic number.

256384854208 is a gapful number since it is divisible by the number (28) 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 256384854208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310203234304).

256384854208 is an abundant number, since it is smaller than the sum of its proper divisors (364021614400).

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

256384854208 is a wasteful number, since it uses less digits than its factorization.

256384854208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 55.

The spelling of 256384854208 in words is "two hundred fifty-six billion, three hundred eighty-four million, eight hundred fifty-four thousand, two hundred eight".