256545053129664 has 420 divisors, whose sum is σ = 859281710425776. Its totient is φ = 75504892649472.

The previous prime is 256545053129591. The next prime is 256545053129693. The reversal of 256545053129664 is 466921350545652.

256545053129664 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 4 + 5 + 0 + 531 + 2 + 96 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13784392 + ... + 26516024.

Almost surely, 2^{256545053129664} is an apocalyptic number.

256545053129664 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 256545053129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429640855212888).

256545053129664 is an abundant number, since it is smaller than the sum of its proper divisors (602736657296112).

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

256545053129664 is a wasteful number, since it uses less digits than its factorization.

256545053129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12731706 (or 12731674 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 256545053129664 in words is "two hundred fifty-six trillion, five hundred forty-five billion, fifty-three million, one hundred twenty-nine thousand, six hundred sixty-four".