2456051056164 has 48 divisors (see below), whose sum is σ = 6414018206400. Its totient is φ = 812707887168.

The previous prime is 2456051056139. The next prime is 2456051056171. The reversal of 2456051056164 is 4616501506542.

2456051056164 is a `hidden beast` number, since 24 + 5 + 6 + 0 + 5 + 1 + 0 + 5 + 616 + 4 = 666.

2456051056164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2456051056164³ (a number of 38 digits) contains 333 as substring.

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, 82982334 + ... + 83011925.

It is an arithmetic number, because the mean of its divisors is an integer number (133625379300).

Almost surely, 2^{2456051056164} is an apocalyptic number.

It is an amenable number.

2456051056164 is an abundant number, since it is smaller than the sum of its proper divisors (3957967150236).

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

2456051056164 is a wasteful number, since it uses less digits than its factorization.

2456051056164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165994409 (or 165994401 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2456051056164 in words is "two trillion, four hundred fifty-six billion, fifty-one million, fifty-six thousand, one hundred sixty-four".