455510412864 has 1176 divisors, whose sum is σ = 1624954880640. Its totient is φ = 125474033664.

The previous prime is 455510412853. The next prime is 455510412881. The reversal of 455510412864 is 468214015554.

455510412864 is a `hidden beast` number, since 4 + 5 + 5 + 510 + 4 + 128 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9691710889 + ... + 9691710935.

Almost surely, 2^455510412864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455510412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812477440320).

455510412864 is an abundant number, since it is smaller than the sum of its proper divisors (1169444467776).

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

455510412864 is a wasteful number, since it uses less digits than its factorization.

455510412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 455510412864 in words is "four hundred fifty-five billion, five hundred ten million, four hundred twelve thousand, eight hundred sixty-four".