456117727430560 has 48 divisors (see below), whose sum is σ = 1160468756525736. Its totient is φ = 168412699358208.

The previous prime is 456117727430551. The next prime is 456117727430623. The reversal of 456117727430560 is 65034727711654.

It can be written as a sum of positive squares in 4 ways, for example, as 345799760958864 + 110317966471696 = 18595692^2 + 10503236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456117727430495 and 456117727430504.

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, 109643682399 + ... + 109643686558.

Almost surely, 2^{456117727430560} is an apocalyptic number.

456117727430560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456117727430560 is an abundant number, since it is smaller than the sum of its proper divisors (704351029095176).

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

456117727430560 is a wasteful number, since it uses less digits than its factorization.

456117727430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219287368985 (or 219287368977 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 58.

The spelling of 456117727430560 in words is "four hundred fifty-six trillion, one hundred seventeen billion, seven hundred twenty-seven million, four hundred thirty thousand, five hundred sixty".