14982972960 has 192 divisors, whose sum is σ = 48967027200. Its totient is φ = 3846377472.

The previous prime is 14982972911. The next prime is 14982973003. The reversal of 14982972960 is 6927928941.

It is a self number, because there is not a number n which added to its sum of digits gives 14982972960.

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, 5413497 + ... + 5416263.

It is an arithmetic number, because the mean of its divisors is an integer number (255036600).

Almost surely, 2^14982972960 is an apocalyptic number.

14982972960 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 14982972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24483513600).

14982972960 is an abundant number, since it is smaller than the sum of its proper divisors (33984054240).

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

14982972960 is a wasteful number, since it uses less digits than its factorization.

14982972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 14982972960 in words is "fourteen billion, nine hundred eighty-two million, nine hundred seventy-two thousand, nine hundred sixty".