4801159296 has 48 divisors (see below), whose sum is σ = 13815839310. Its totient is φ = 1600386048.

The previous prime is 4801159247. The next prime is 4801159313. The reversal of 4801159296 is 6929511084.

4801159296 is a `hidden beast` number, since 48 + 0 + 11 + 592 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4467585600 + 333573696 = 66840^2 + 18264^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4801159296² = 46102261171134431232, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 2082685 + ... + 2084988.

Almost surely, 2^4801159296 is an apocalyptic number.

It is an amenable number.

4801159296 is an abundant number, since it is smaller than the sum of its proper divisors (9014680014).

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

4801159296 is a wasteful number, since it uses less digits than its factorization.

4801159296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167693 (or 4167678 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4801159296 is about 69290.3982958678. The cubic root of 4801159296 is about 1687.0011235767.

The spelling of 4801159296 in words is "four billion, eight hundred one million, one hundred fifty-nine thousand, two hundred ninety-six".