10456161564456 has 80 divisors (see below), whose sum is σ = 29910060354240. Its totient is φ = 3411230004000.

The previous prime is 10456161564413. The next prime is 10456161564467. The reversal of 10456161564456 is 65446516165401.

10456161564456 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 616 + 15 + 6 + 4 + 4 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171629670 + ... + 171690581.

It is an arithmetic number, because the mean of its divisors is an integer number (373875754428).

Almost surely, 2^{10456161564456} is an apocalyptic number.

It is an amenable number.

10456161564456 is an abundant number, since it is smaller than the sum of its proper divisors (19453898789784).

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

10456161564456 is a wasteful number, since it uses less digits than its factorization.

10456161564456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343320316 (or 343320303 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 10456161564456 in words is "ten trillion, four hundred fifty-six billion, one hundred sixty-one million, five hundred sixty-four thousand, four hundred fifty-six".