14821331328 has 96 divisors (see below), whose sum is σ = 43234415640. Its totient is φ = 4872738816.

The previous prime is 14821331309. The next prime is 14821331341. The reversal of 14821331328 is 82313312841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14821331292 and 14821331301.

It is a congruent number.

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, 4026 + ... + 172217.

Almost surely, 2^14821331328 is an apocalyptic number.

14821331328 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 14821331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21617207820).

14821331328 is an abundant number, since it is smaller than the sum of its proper divisors (28413084312).

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

14821331328 is a wasteful number, since it uses less digits than its factorization.

14821331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176336 (or 176321 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 14821331328 in words is "fourteen billion, eight hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty-eight".