14972688000 has 384 divisors, whose sum is σ = 55776651840. Its totient is φ = 3991680000.

The previous prime is 14972687999. The next prime is 14972688013. The reversal of 14972688000 is 88627941.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886075 + ... + 3889925.

Almost surely, 2^14972688000 is an apocalyptic number.

14972688000 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 14972688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27888325920).

14972688000 is an abundant number, since it is smaller than the sum of its proper divisors (40803963840).

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

14972688000 is an frugal number, since it uses more digits than its factorization.

14972688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14972688000 in words is "fourteen billion, nine hundred seventy-two million, six hundred eighty-eight thousand".