14839373920 has 384 divisors, whose sum is σ = 44346839040. Its totient is φ = 4578508800.

The previous prime is 14839373893. The next prime is 14839373947. The reversal of 14839373920 is 2937393841.

14839373920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14839373893) and next prime (14839373947).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 37005720 + ... + 37006120.

It is an arithmetic number, because the mean of its divisors is an integer number (115486560).

Almost surely, 2^14839373920 is an apocalyptic number.

14839373920 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 14839373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22173419520).

14839373920 is an abundant number, since it is smaller than the sum of its proper divisors (29507465120).

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

14839373920 is a wasteful number, since it uses less digits than its factorization.

14839373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 14839373920 in words is "fourteen billion, eight hundred thirty-nine million, three hundred seventy-three thousand, nine hundred twenty".