456640665000 has 160 divisors (see below), whose sum is σ = 1536280357920. Its totient is φ = 112403808000.

The previous prime is 456640664957. The next prime is 456640665031. The reversal of 456640665000 is 566046654.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 975874 + ... + 1365873.

It is an arithmetic number, because the mean of its divisors is an integer number (9601752237).

Almost surely, 2^456640665000 is an apocalyptic number.

456640665000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456640665000 is an abundant number, since it is smaller than the sum of its proper divisors (1079639692920).

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

456640665000 is a wasteful number, since it uses less digits than its factorization.

456640665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341789 (or 2341770 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 456640665000 in words is "four hundred fifty-six billion, six hundred forty million, six hundred sixty-five thousand".