14833915264 has 128 divisors (see below), whose sum is σ = 34422796800. Its totient is φ = 6236160000.

The previous prime is 14833915259. The next prime is 14833915289. The reversal of 14833915264 is 46251933841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15967152 + ... + 15968080.

It is an arithmetic number, because the mean of its divisors is an integer number (268928100).

Almost surely, 2^14833915264 is an apocalyptic number.

14833915264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14833915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211398400).

14833915264 is an abundant number, since it is smaller than the sum of its proper divisors (19588881536).

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

14833915264 is an equidigital number, since it uses as much as digits as its factorization.

14833915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1260 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 14833915264 in words is "fourteen billion, eight hundred thirty-three million, nine hundred fifteen thousand, two hundred sixty-four".