14682083328 has 416 divisors, whose sum is σ = 48359664000. Its totient is φ = 4419256320.

The previous prime is 14682083323. The next prime is 14682083363. The reversal of 14682083328 is 82338028641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14682083323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98537398 + ... + 98537546.

Almost surely, 2^14682083328 is an apocalyptic number.

14682083328 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 14682083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24179832000).

14682083328 is an abundant number, since it is smaller than the sum of its proper divisors (33677580672).

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

14682083328 is an frugal number, since it uses more digits than its factorization.

14682083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14682083328 in words is "fourteen billion, six hundred eighty-two million, eighty-three thousand, three hundred twenty-eight".