14917732960 has 144 divisors (see below), whose sum is σ = 40058894736. Its totient is φ = 5217924096.

The previous prime is 14917732933. The next prime is 14917732961. The reversal of 14917732960 is 6923771941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14917732961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740947 + ... + 760813.

It is an arithmetic number, because the mean of its divisors is an integer number (278186769).

Almost surely, 2^14917732960 is an apocalyptic number.

14917732960 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 14917732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20029447368).

14917732960 is an abundant number, since it is smaller than the sum of its proper divisors (25141161776).

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

14917732960 is a wasteful number, since it uses less digits than its factorization.

14917732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19933 (or 19906 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The spelling of 14917732960 in words is "fourteen billion, nine hundred seventeen million, seven hundred thirty-two thousand, nine hundred sixty".