456675973536 has 96 divisors (see below), whose sum is σ = 1202882885568. Its totient is φ = 151704115200.

The previous prime is 456675973517. The next prime is 456675973547. The reversal of 456675973536 is 635379576654.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109960836 + ... + 109964988.

It is an arithmetic number, because the mean of its divisors is an integer number (12530030058).

Almost surely, 2^456675973536 is an apocalyptic number.

It is an amenable number.

456675973536 is an abundant number, since it is smaller than the sum of its proper divisors (746206912032).

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

456675973536 is a wasteful number, since it uses less digits than its factorization.

456675973536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7806 counting only the distinct ones).

The product of its digits is 428652000, while the sum is 66.

The spelling of 456675973536 in words is "four hundred fifty-six billion, six hundred seventy-five million, nine hundred seventy-three thousand, five hundred thirty-six".