14972656896 has 288 divisors, whose sum is σ = 45857548800. Its totient is φ = 4876111872.

The previous prime is 14972656883. The next prime is 14972656949. The reversal of 14972656896 is 69865627941.

14972656896 is a `hidden beast` number, since 1 + 49 + 7 + 26 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 26313700 + ... + 26314268.

It is an arithmetic number, because the mean of its divisors is an integer number (159227600).

Almost surely, 2^14972656896 is an apocalyptic number.

14972656896 is a gapful number since it is divisible by the number (16) 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 14972656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22928774400).

14972656896 is an abundant number, since it is smaller than the sum of its proper divisors (30884891904).

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

14972656896 is an frugal number, since it uses more digits than its factorization.

14972656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 621 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 14972656896 in words is "fourteen billion, nine hundred seventy-two million, six hundred fifty-six thousand, eight hundred ninety-six".