256900460544 has 1040 divisors, whose sum is σ = 966182576128. Its totient is φ = 66217181184.

The previous prime is 256900460533. The next prime is 256900460627. The reversal of 256900460544 is 445064009652.

256900460544 is a `hidden beast` number, since 2 + 5 + 69 + 0 + 0 + 46 + 0 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 256900460544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2022838209 + ... + 2022838335.

Almost surely, 2^256900460544 is an apocalyptic number.

256900460544 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 256900460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483091288064).

256900460544 is an abundant number, since it is smaller than the sum of its proper divisors (709282115584).

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

256900460544 is a wasteful number, since it uses less digits than its factorization.

256900460544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 256900460544 in words is "two hundred fifty-six billion, nine hundred million, four hundred sixty thousand, five hundred forty-four".