16144171316361 has 81 divisors (see below), whose sum is σ = 25780448516277. Its totient is φ = 9728014158720.

The previous prime is 16144171316227. The next prime is 16144171316393. The reversal of 16144171316361 is 16361317144161.

The square root of 16144171316361 is 4017981.

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

16144171316361 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 4 + 1 + 7 + 1 + 3 + 1 + 636 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11187118431225 + 4957052885136 = 3344715^2 + 2226444^2 .

It is not a de Polignac number, because 16144171316361 - 2⁹ = 16144171315849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16144171314361) 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, 41501725555 + ... + 41501725943.

Almost surely, 2^{16144171316361} is an apocalyptic number.

16144171316361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16144171316361 is the 4017981-st square number.

16144171316361 is the 2008991-st centered octagonal number.

It is an amenable number.

16144171316361 is a deficient number, since it is larger than the sum of its proper divisors (9636277199916).

16144171316361 is an frugal number, since it uses more digits than its factorization.

16144171316361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 716 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 16144171316361 in words is "sixteen trillion, one hundred forty-four billion, one hundred seventy-one million, three hundred sixteen thousand, three hundred sixty-one".