456048872992 has 48 divisors (see below), whose sum is σ = 943556910912. Its totient is φ = 216702017280.

The previous prime is 456048872989. The next prime is 456048873011. The reversal of 456048872992 is 299278840654.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4427884 + ... + 4529707.

It is an arithmetic number, because the mean of its divisors is an integer number (19657435644).

Almost surely, 2^456048872992 is an apocalyptic number.

It is an amenable number.

456048872992 is an abundant number, since it is smaller than the sum of its proper divisors (487508037920).

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

456048872992 is a wasteful number, since it uses less digits than its factorization.

456048872992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8957681 (or 8957673 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 456048872992 in words is "four hundred fifty-six billion, forty-eight million, eight hundred seventy-two thousand, nine hundred ninety-two".