256054786930944 has 243 divisors, whose sum is σ = 766687184224507. Its totient is φ = 85344682904064.

The previous prime is 256054786930879. The next prime is 256054786930961. The reversal of 256054786930944 is 449039687450652.

The square root of 256054786930944 is 16001712.

It is a perfect power (a square), and thus also a powerful number.

256054786930944 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 5 + 478 + 69 + 3 + 0 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×256054786930944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20738212579 + ... + 20738224925.

Almost surely, 2^{256054786930944} is an apocalyptic number.

256054786930944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

256054786930944 is the 16001712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256054786930944

256054786930944 is an abundant number, since it is smaller than the sum of its proper divisors (510632397293563).

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

256054786930944 is an frugal number, since it uses more digits than its factorization.

256054786930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24734 (or 12352 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 256054786930944 in words is "two hundred fifty-six trillion, fifty-four billion, seven hundred eighty-six million, nine hundred thirty thousand, nine hundred forty-four".