171727369861441 has 9 divisors (see below), whose sum is σ = 172049069380899. Its totient is φ = 171406270812504.

The previous prime is 171727369861409. The next prime is 171727369861469. The reversal of 171727369861441 is 144168963727171.

The square root of 171727369861441 is 13104479.

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., 140181219234225 + 31546150627216 = 11839815^2 + 5616596^2 .

It is not a de Polignac number, because 171727369861441 - 2⁵ = 171727369861409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171727369831441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7168138035 + ... + 7168161991.

Almost surely, 2^{171727369861441} is an apocalyptic number.

171727369861441 is the 13104479-th square number.

171727369861441 is the 6552240-th centered octagonal number.

It is an amenable number.

171727369861441 is a deficient number, since it is larger than the sum of its proper divisors (321699519458).

171727369861441 is an frugal number, since it uses more digits than its factorization.

171727369861441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49008 (or 24504 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 67.

The spelling of 171727369861441 in words is "one hundred seventy-one trillion, seven hundred twenty-seven billion, three hundred sixty-nine million, eight hundred sixty-one thousand, four hundred forty-one".