14688433680 has 160 divisors (see below), whose sum is σ = 46722009600. Its totient is φ = 3815055360.

The previous prime is 14688433679. The next prime is 14688433681. The reversal of 14688433680 is 8633488641.

It is an interprime number because it is at equal distance from previous prime (14688433679) and next prime (14688433681).

It is not an unprimeable number, because it can be changed into a prime (14688433681) 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, 10321449 + ... + 10322871.

It is an arithmetic number, because the mean of its divisors is an integer number (292012560).

Almost surely, 2^14688433680 is an apocalyptic number.

14688433680 is a gapful number since it is divisible by the number (10) 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 14688433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23361004800).

14688433680 is an abundant number, since it is smaller than the sum of its proper divisors (32033575920).

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

14688433680 is a wasteful number, since it uses less digits than its factorization.

14688433680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 14688433680 in words is "fourteen billion, six hundred eighty-eight million, four hundred thirty-three thousand, six hundred eighty".