168985944241 has 27 divisors (see below), whose sum is σ = 180211069857. Its totient is φ = 158446289760.

The previous prime is 168985944229. The next prime is 168985944247. The reversal of 168985944241 is 142449589861.

The square root of 168985944241 is 411079.

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

It can be written as a sum of positive squares in 4 ways, for example, as 472410225 + 168513534016 = 21735^2 + 410504^2 .

It is not a de Polignac number, because 168985944241 - 2¹⁵ = 168985911473 is a prime.

It is a super-2 number, since 2×168985944241² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

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 168985944241.

It is not an unprimeable number, because it can be changed into a prime (168985944247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 576743691 + ... + 576743983.

Almost surely, 2^168985944241 is an apocalyptic number.

168985944241 is the 411079-th square number.

168985944241 is the 205540-th centered octagonal number.

It is an amenable number.

168985944241 is a deficient number, since it is larger than the sum of its proper divisors (11225125616).

168985944241 is an frugal number, since it uses more digits than its factorization.

168985944241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 377 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 61.

The spelling of 168985944241 in words is "one hundred sixty-eight billion, nine hundred eighty-five million, nine hundred forty-four thousand, two hundred forty-one".