14870968320 has 384 divisors, whose sum is σ = 53495769600. Its totient is φ = 3499229184.

The previous prime is 14870968289. The next prime is 14870968361. The reversal of 14870968320 is 2386907841.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14870968320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14870968320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9184471 + ... + 9186089.

It is an arithmetic number, because the mean of its divisors is an integer number (139311900).

Almost surely, 2^14870968320 is an apocalyptic number.

14870968320 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 14870968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26747884800).

14870968320 is an abundant number, since it is smaller than the sum of its proper divisors (38624801280).

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

14870968320 is a wasteful number, since it uses less digits than its factorization.

14870968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 14870968320 in words is "fourteen billion, eight hundred seventy million, nine hundred sixty-eight thousand, three hundred twenty".