14790083328 has 288 divisors, whose sum is σ = 45563212800. Its totient is φ = 4728582144.

The previous prime is 14790083293. The next prime is 14790083333. The reversal of 14790083328 is 82338009741.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17217363 + ... + 17218221.

It is an arithmetic number, because the mean of its divisors is an integer number (158205600).

Almost surely, 2^14790083328 is an apocalyptic number.

14790083328 is a gapful number since it is divisible by the number (18) 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 14790083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781606400).

14790083328 is an abundant number, since it is smaller than the sum of its proper divisors (30773129472).

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

14790083328 is an equidigital number, since it uses as much as digits as its factorization.

14790083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14790083328 in words is "fourteen billion, seven hundred ninety million, eighty-three thousand, three hundred twenty-eight".