452359579830912 has 1280 divisors, whose sum is σ = 1512086863795200. Its totient is φ = 133342842028032.

The previous prime is 452359579830881. The next prime is 452359579830923. The reversal of 452359579830912 is 219038975953254.

452359579830912 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 5 + 9 + 579 + 8 + 30 + 9 + 12 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 170895193173 + ... + 170895195819.

It is an arithmetic number, because the mean of its divisors is an integer number (1181317862340).

Almost surely, 2^{452359579830912} 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 452359579830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756043431897600).

452359579830912 is an abundant number, since it is smaller than the sum of its proper divisors (1059727283964288).

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

452359579830912 is a wasteful number, since it uses less digits than its factorization.

452359579830912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 452359579830912 in words is "four hundred fifty-two trillion, three hundred fifty-nine billion, five hundred seventy-nine million, eight hundred thirty thousand, nine hundred twelve".