256515633032064 has 256 divisors, whose sum is σ = 815825237606400. Its totient is φ = 69867383224320.

The previous prime is 256515633032003. The next prime is 256515633032107. The reversal of 256515633032064 is 460230336515652.

256515633032064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256515633031998 and 256515633032016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17390044 + ... + 28555995.

It is an arithmetic number, because the mean of its divisors is an integer number (3186817334400).

Almost surely, 2^{256515633032064} is an apocalyptic number.

256515633032064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256515633032064 is an abundant number, since it is smaller than the sum of its proper divisors (559309604574336).

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

256515633032064 is a wasteful number, since it uses less digits than its factorization.

256515633032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45946161 (or 45946149 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 51.

The spelling of 256515633032064 in words is "two hundred fifty-six trillion, five hundred fifteen billion, six hundred thirty-three million, thirty-two thousand, sixty-four".