456164463072 has 48 divisors (see below), whose sum is σ = 1217061759312. Its totient is φ = 149562117120.

The previous prime is 456164463061. The next prime is 456164463109. The reversal of 456164463072 is 270364461654.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38942613 + ... + 38954324.

It is an arithmetic number, because the mean of its divisors is an integer number (25355453319).

Almost surely, 2^456164463072 is an apocalyptic number.

It is an amenable number.

456164463072 is an abundant number, since it is smaller than the sum of its proper divisors (760897296240).

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

456164463072 is a wasteful number, since it uses less digits than its factorization.

456164463072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77897011 (or 77897003 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 456164463072 in words is "four hundred fifty-six billion, one hundred sixty-four million, four hundred sixty-three thousand, seventy-two".