480163452032 has 96 divisors (see below), whose sum is σ = 1051826922300. Its totient is φ = 218176358400.

The previous prime is 480163452019. The next prime is 480163452077. The reversal of 480163452032 is 230254361084.

It can be written as a sum of positive squares in 2 ways, for example, as 480005094976 + 158357056 = 692824^2 + 12584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71566694 + ... + 71573402.

Almost surely, 2^480163452032 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 480163452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525913461150).

480163452032 is an abundant number, since it is smaller than the sum of its proper divisors (571663470268).

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

480163452032 is a wasteful number, since it uses less digits than its factorization.

480163452032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 480163452032 in words is "four hundred eighty billion, one hundred sixty-three million, four hundred fifty-two thousand, thirty-two".