455599576368 has 720 divisors, whose sum is σ = 1484704306176. Its totient is φ = 134990737920.

The previous prime is 455599576321. The next prime is 455599576373. The reversal of 455599576368 is 863675995554.

455599576368 is a `hidden beast` number, since 4 + 5 + 559 + 9 + 5 + 7 + 6 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1224720000) is a multiple of the sum of its prime divisors (375).

It is a junction number, because it is equal to n+sod(n) for n = 455599576296 and 455599576305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1609892355 + ... + 1609892637.

Almost surely, 2^455599576368 is an apocalyptic number.

455599576368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455599576368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742352153088).

455599576368 is an abundant number, since it is smaller than the sum of its proper divisors (1029104729808).

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

455599576368 is a wasteful number, since it uses less digits than its factorization.

455599576368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 375 counting only the distinct ones).

The product of its digits is 1224720000, while the sum is 72.

The spelling of 455599576368 in words is "four hundred fifty-five billion, five hundred ninety-nine million, five hundred seventy-six thousand, three hundred sixty-eight".