14688382400 has 42 divisors (see below), whose sum is σ = 36142604880. Its totient is φ = 5875352320.

The previous prime is 14688382399. The next prime is 14688382403. The reversal of 14688382400 is 428388641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688382403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4588520 + ... + 4591719.

Almost surely, 2^14688382400 is an apocalyptic number.

14688382400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14688382400 is an abundant number, since it is smaller than the sum of its proper divisors (21454222480).

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

14688382400 is an equidigital number, since it uses as much as digits as its factorization.

14688382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180261 (or 9180246 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 14688382400 in words is "fourteen billion, six hundred eighty-eight million, three hundred eighty-two thousand, four hundred".