14307680352 has 384 divisors, whose sum is σ = 49511347200. Its totient is φ = 3517710336.

The previous prime is 14307680297. The next prime is 14307680377. The reversal of 14307680352 is 25308670341.

It is a self number, because there is not a number n which added to its sum of digits gives 14307680352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6293488 + ... + 6295760.

It is an arithmetic number, because the mean of its divisors is an integer number (128935800).

Almost surely, 2^14307680352 is an apocalyptic number.

14307680352 is a gapful number since it is divisible by the number (12) 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 14307680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24755673600).

14307680352 is an abundant number, since it is smaller than the sum of its proper divisors (35203666848).

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

14307680352 is a wasteful number, since it uses less digits than its factorization.

14307680352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 14307680352 in words is "fourteen billion, three hundred seven million, six hundred eighty thousand, three hundred fifty-two".