14717972920 has 256 divisors, whose sum is σ = 40874803200. Its totient is φ = 4662766080.

The previous prime is 14717972851. The next prime is 14717972933. The reversal of 14717972920 is 2927971741.

14717972920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 17541861 + ... + 17542699.

It is an arithmetic number, because the mean of its divisors is an integer number (159667200).

Almost surely, 2^14717972920 is an apocalyptic number.

14717972920 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 14717972920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437401600).

14717972920 is an abundant number, since it is smaller than the sum of its proper divisors (26156830280).

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

14717972920 is a wasteful number, since it uses less digits than its factorization.

14717972920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 49.

The spelling of 14717972920 in words is "fourteen billion, seven hundred seventeen million, nine hundred seventy-two thousand, nine hundred twenty".