16176331164361 has 27 divisors (see below), whose sum is σ = 16844338708743. Its totient is φ = 15534177655920.

The previous prime is 16176331164341. The next prime is 16176331164401. The reversal of 16176331164361 is 16346113367161.

The square root of 16176331164361 is 4021981.

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

16176331164361 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., 8482475675961 + 7693855488400 = 2912469^2 + 2773780^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16176331164361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16176331164341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38606995410 + ... + 38606995828.

Almost surely, 2^{16176331164361} is an apocalyptic number.

16176331164361 is the 4021981-st square number.

16176331164361 is the 2010991-st centered octagonal number.

It is an amenable number.

16176331164361 is a deficient number, since it is larger than the sum of its proper divisors (668007544382).

16176331164361 is an frugal number, since it uses more digits than its factorization.

16176331164361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

Multiplying 16176331164361 by its sum of digits (49), we get a square (792640227053689 = 28153867²).

The spelling of 16176331164361 in words is "sixteen trillion, one hundred seventy-six billion, three hundred thirty-one million, one hundred sixty-four thousand, three hundred sixty-one".