456630413354144 has 48 divisors (see below), whose sum is σ = 905007049027200. Its totient is φ = 226787561606400.

The previous prime is 456630413354099. The next prime is 456630413354183. The reversal of 456630413354144 is 441453314036654.

It is a super-2 number, since 2×456630413354144² (a number of 30 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, 67053077 + ... + 73548459.

It is an arithmetic number, because the mean of its divisors is an integer number (18854313521400).

Almost surely, 2^{456630413354144} is an apocalyptic number.

It is an amenable number.

456630413354144 is a deficient number, since it is larger than the sum of its proper divisors (448376635673056).

456630413354144 is a wasteful number, since it uses less digits than its factorization.

456630413354144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510093 (or 6510085 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 53.

The spelling of 456630413354144 in words is "four hundred fifty-six trillion, six hundred thirty billion, four hundred thirteen million, three hundred fifty-four thousand, one hundred forty-four".