452056864896 has 1536 divisors, whose sum is σ = 1814414515200. Its totient is φ = 109395836928.

The previous prime is 452056864873. The next prime is 452056864907. The reversal of 452056864896 is 698468650254.

452056864896 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 568 + 64 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1758976000 + ... + 1758976256.

It is an arithmetic number, because the mean of its divisors is an integer number (1181259450).

Almost surely, 2^452056864896 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 452056864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907207257600).

452056864896 is an abundant number, since it is smaller than the sum of its proper divisors (1362357650304).

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

452056864896 is a wasteful number, since it uses less digits than its factorization.

452056864896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 452056864896 in words is "four hundred fifty-two billion, fifty-six million, eight hundred sixty-four thousand, eight hundred ninety-six".