14993914320 has 640 divisors, whose sum is σ = 68189921280. Its totient is φ = 2931793920.

The previous prime is 14993914289. The next prime is 14993914321. The reversal of 14993914320 is 2341939941.

14993914320 is a `hidden beast` number, since 1 + 49 + 93 + 91 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14993914321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2824789 + ... + 2830091.

It is an arithmetic number, because the mean of its divisors is an integer number (106546752).

Almost surely, 2^14993914320 is an apocalyptic number.

14993914320 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 14993914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34094960640).

14993914320 is an abundant number, since it is smaller than the sum of its proper divisors (53196006960).

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

14993914320 is a wasteful number, since it uses less digits than its factorization.

14993914320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 14993914320 in words is "fourteen billion, nine hundred ninety-three million, nine hundred fourteen thousand, three hundred twenty".