16965328972201 has 9 divisors (see below), whose sum is σ = 17570636830903. Its totient is φ = 16380202299160.

The previous prime is 16965328972169. The next prime is 16965328972237. The reversal of 16965328972201 is 10227982356961.

The square root of 16965328972201 is 4118899.

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

It can be written as a sum of positive squares in only one way, i.e., 8896206987801 + 8069121984400 = 2982651^2 + 2840620^2 .

It is not a de Polignac number, because 16965328972201 - 2⁵ = 16965328972169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16965328972201.

It is not an unprimeable number, because it can be changed into a prime (16965328972301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119377056 + ... + 119519086.

Almost surely, 2^{16965328972201} is an apocalyptic number.

16965328972201 is the 4118899-th square number.

16965328972201 is the 2059450-th centered octagonal number.

It is an amenable number.

16965328972201 is a deficient number, since it is larger than the sum of its proper divisors (605307858702).

16965328972201 is an frugal number, since it uses more digits than its factorization.

16965328972201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284120 (or 142060 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 16965328972201 in words is "sixteen trillion, nine hundred sixty-five billion, three hundred twenty-eight million, nine hundred seventy-two thousand, two hundred one".