256123604456046 has 64 divisors (see below), whose sum is σ = 570823862803200. Its totient is φ = 85125817734048.

The previous prime is 256123604456033. The next prime is 256123604456063. The reversal of 256123604456046 is 640654406321652.

256123604456046 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 2 + 36 + 0 + 4 + 4 + 560 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 256123604455983 and 256123604456001.

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, 23609185 + ... + 32705363.

It is an arithmetic number, because the mean of its divisors is an integer number (8919122856300).

Almost surely, 2^{256123604456046} is an apocalyptic number.

256123604456046 is an abundant number, since it is smaller than the sum of its proper divisors (314700258347154).

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

256123604456046 is a wasteful number, since it uses less digits than its factorization.

256123604456046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9097710 (or 9097704 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 256123604456046 in words is "two hundred fifty-six trillion, one hundred twenty-three billion, six hundred four million, four hundred fifty-six thousand, forty-six".