16189763121 has 81 divisors (see below), whose sum is σ = 27917263179. Its totient is φ = 9014628672.

The previous prime is 16189763077. The next prime is 16189763141. The reversal of 16189763121 is 12136798161.

The square root of 16189763121 is 127239.

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

16189763121 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 9 + 7 + 631 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9190098225 + 6999664896 = 95865^2 + 83664^2 .

It is not a de Polignac number, because 16189763121 - 2¹¹ = 16189761073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16189763141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 195057346 + ... + 195057428.

Almost surely, 2^16189763121 is an apocalyptic number.

16189763121 is the 127239-th square number.

16189763121 is the 63620-th centered octagonal number.

It is an amenable number.

16189763121 is a deficient number, since it is larger than the sum of its proper divisors (11727500058).

16189763121 is an frugal number, since it uses more digits than its factorization.

16189763121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 16189763121 in words is "sixteen billion, one hundred eighty-nine million, seven hundred sixty-three thousand, one hundred twenty-one".