456742491972 has 24 divisors (see below), whose sum is σ = 1147711903296. Its totient is φ = 140536151328.

The previous prime is 456742491943. The next prime is 456742491983. The reversal of 456742491972 is 279194247654.

It is a super-2 number, since 2×456742491972² (a number of 24 digits) contains 22 as substring.

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, 1463918088 + ... + 1463918399.

It is an arithmetic number, because the mean of its divisors is an integer number (47821329304).

Almost surely, 2^456742491972 is an apocalyptic number.

It is an amenable number.

456742491972 is an abundant number, since it is smaller than the sum of its proper divisors (690969411324).

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

456742491972 is a wasteful number, since it uses less digits than its factorization.

456742491972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927836507 (or 2927836505 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The spelling of 456742491972 in words is "four hundred fifty-six billion, seven hundred forty-two million, four hundred ninety-one thousand, nine hundred seventy-two".