256763025144 has 64 divisors (see below), whose sum is σ = 713741280000. Its totient is φ = 85526396640.

The previous prime is 256763025121. The next prime is 256763025157. The reversal of 256763025144 is 441520367652.

256763025144 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 630 + 2 + 5 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 256763025144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122662 + ... + 727029.

It is an arithmetic number, because the mean of its divisors is an integer number (11152207500).

Almost surely, 2^256763025144 is an apocalyptic number.

256763025144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256763025144 is an abundant number, since it is smaller than the sum of its proper divisors (456978254856).

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

256763025144 is a wasteful number, since it uses less digits than its factorization.

256763025144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851105 (or 851095 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 256763025144 in words is "two hundred fifty-six billion, seven hundred sixty-three million, twenty-five thousand, one hundred forty-four".