452812480896 has 256 divisors, whose sum is σ = 1303465996800. Its totient is φ = 138757570560.

The previous prime is 452812480823. The next prime is 452812480907. The reversal of 452812480896 is 698084218254.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50515711 + ... + 50524673.

It is an arithmetic number, because the mean of its divisors is an integer number (5091664050).

Almost surely, 2^452812480896 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 452812480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651732998400).

452812480896 is an abundant number, since it is smaller than the sum of its proper divisors (850653515904).

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

452812480896 is a wasteful number, since it uses less digits than its factorization.

452812480896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 452812480896 in words is "four hundred fifty-two billion, eight hundred twelve million, four hundred eighty thousand, eight hundred ninety-six".