14680914320 has 40 divisors (see below), whose sum is σ = 34138852920. Its totient is φ = 5871380480.

The previous prime is 14680914307. The next prime is 14680914331. The reversal of 14680914320 is 2341908641.

14680914320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 206899456 + 14474014864 = 14384^2 + 120308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 635126 + ... + 657834.

It is an arithmetic number, because the mean of its divisors is an integer number (853471323).

Almost surely, 2^14680914320 is an apocalyptic number.

14680914320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14680914320 is an abundant number, since it is smaller than the sum of its proper divisors (19457938600).

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

14680914320 is a wasteful number, since it uses less digits than its factorization.

14680914320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30803 (or 30797 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 14680914320 in words is "fourteen billion, six hundred eighty million, nine hundred fourteen thousand, three hundred twenty".