456312734176 has 48 divisors (see below), whose sum is σ = 967669146864. Its totient is φ = 210562689024.

The previous prime is 456312734149. The next prime is 456312734177. The reversal of 456312734176 is 671437213654.

It is a super-2 number, since 2×456312734176² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456312734177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1964616 + ... + 2184568.

It is an arithmetic number, because the mean of its divisors is an integer number (20159773893).

Almost surely, 2^456312734176 is an apocalyptic number.

It is an amenable number.

456312734176 is an abundant number, since it is smaller than the sum of its proper divisors (511356412688).

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

456312734176 is a wasteful number, since it uses less digits than its factorization.

456312734176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224963 (or 224955 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 49.

The spelling of 456312734176 in words is "four hundred fifty-six billion, three hundred twelve million, seven hundred thirty-four thousand, one hundred seventy-six".