452050611264 has 560 divisors, whose sum is σ = 1577105620992. Its totient is φ = 125353847808.

The previous prime is 452050611251. The next prime is 452050611289. The reversal of 452050611264 is 462116050254.

452050611264 is a `hidden beast` number, since 4 + 5 + 20 + 506 + 1 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 216602029 + ... + 216604115.

Almost surely, 2^452050611264 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 452050611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788552810496).

452050611264 is an abundant number, since it is smaller than the sum of its proper divisors (1125055009728).

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

452050611264 is a wasteful number, since it uses less digits than its factorization.

452050611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 452050611264 in words is "four hundred fifty-two billion, fifty million, six hundred eleven thousand, two hundred sixty-four".