456881961204 has 36 divisors (see below), whose sum is σ = 1154923207620. Its totient is φ = 152290408320.

The previous prime is 456881961161. The next prime is 456881961241. The reversal of 456881961204 is 402169188654.

456881961204 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 8 + 19 + 612 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 287615544804 + 169266416400 = 536298^2 + 411420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×456881961204² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1727752 + ... + 1974560.

Almost surely, 2^456881961204 is an apocalyptic number.

It is an amenable number.

456881961204 is an abundant number, since it is smaller than the sum of its proper divisors (698041246416).

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

456881961204 is a wasteful number, since it uses less digits than its factorization.

456881961204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298240 (or 298235 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 456881961204 in words is "four hundred fifty-six billion, eight hundred eighty-one million, nine hundred sixty-one thousand, two hundred four".