14807968128 has 64 divisors (see below), whose sum is σ = 43704082800. Its totient is φ = 4935988224.

The previous prime is 14807968127. The next prime is 14807968159. The reversal of 14807968128 is 82186970841.

14807968128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14807968127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2138901 + ... + 2145812.

Almost surely, 2^14807968128 is an apocalyptic number.

14807968128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14807968128 is an abundant number, since it is smaller than the sum of its proper divisors (28896114672).

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

14807968128 is an equidigital number, since it uses as much as digits as its factorization.

14807968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284736 (or 4284718 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 14807968128 in words is "fourteen billion, eight hundred seven million, nine hundred sixty-eight thousand, one hundred twenty-eight".