256905154464 has 288 divisors, whose sum is σ = 798243102720. Its totient is φ = 72124964352.

The previous prime is 256905154439. The next prime is 256905154501. The reversal of 256905154464 is 464451509652.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63920647 + ... + 63924665.

It is an arithmetic number, because the mean of its divisors is an integer number (2771677440).

Almost surely, 2^256905154464 is an apocalyptic number.

256905154464 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 256905154464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399121551360).

256905154464 is an abundant number, since it is smaller than the sum of its proper divisors (541337948256).

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

256905154464 is a wasteful number, since it uses less digits than its factorization.

256905154464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 256905154464 in words is "two hundred fifty-six billion, nine hundred five million, one hundred fifty-four thousand, four hundred sixty-four".