256733405625624 has 64 divisors (see below), whose sum is σ = 668421850140000. Its totient is φ = 82072300584960.

The previous prime is 256733405625623. The next prime is 256733405625673. The reversal of 256733405625624 is 426526504337652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256733405625623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237714537 + ... + 1237921944.

Almost surely, 2^{256733405625624} is an apocalyptic number.

256733405625624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256733405625624 is an abundant number, since it is smaller than the sum of its proper divisors (411688444514376).

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

256733405625624 is a wasteful number, since it uses less digits than its factorization.

256733405625624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475636668 (or 2475636664 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 60.

The spelling of 256733405625624 in words is "two hundred fifty-six trillion, seven hundred thirty-three billion, four hundred five million, six hundred twenty-five thousand, six hundred twenty-four".