14996968798464 has 135 divisors (see below), whose sum is σ = 44719910268033. Its totient is φ = 4998803715072.

The previous prime is 14996968798337. The next prime is 14996968798477. The reversal of 14996968798464 is 46489786969941.

The square root of 14996968798464 is 3872592.

It is a perfect power (a square), and thus also a powerful number.

14996968798464 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 69 + 6 + 87 + 9 + 8 + 464 = 666.

14996968798464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14282957318400 + 714011480064 = 3779280^2 + 844992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 557639802 + ... + 557666694.

Almost surely, 2^{14996968798464} is an apocalyptic number.

14996968798464 is the 3872592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14996968798464

14996968798464 is an abundant number, since it is smaller than the sum of its proper divisors (29722941469569).

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

14996968798464 is an frugal number, since it uses more digits than its factorization.

14996968798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53814 (or 26898 counting only the distinct ones).

The product of its digits is 40633270272, while the sum is 90.

The spelling of 14996968798464 in words is "fourteen trillion, nine hundred ninety-six billion, nine hundred sixty-eight million, seven hundred ninety-eight thousand, four hundred sixty-four".