455232527568 has 320 divisors, whose sum is σ = 1635495321600. Its totient is φ = 118025786880.

The previous prime is 455232527549. The next prime is 455232527597. The reversal of 455232527568 is 865725232554.

455232527568 is a `hidden beast` number, since 4 + 5 + 5 + 23 + 2 + 52 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2221273 + ... + 2417543.

It is an arithmetic number, because the mean of its divisors is an integer number (5110922880).

Almost surely, 2^455232527568 is an apocalyptic number.

455232527568 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 455232527568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817747660800).

455232527568 is an abundant number, since it is smaller than the sum of its proper divisors (1180262794032).

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

455232527568 is a wasteful number, since it uses less digits than its factorization.

455232527568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196367 (or 196355 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 54.

The spelling of 455232527568 in words is "four hundred fifty-five billion, two hundred thirty-two million, five hundred twenty-seven thousand, five hundred sixty-eight".