167175494641 has 27 divisors (see below), whose sum is σ = 181289764929. Its totient is φ = 154141096032.

The previous prime is 167175494627. The next prime is 167175494663. The reversal of 167175494641 is 146494571761.

The square root of 167175494641 is 408871.

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 70021098225 + 97154396416 = 264615^2 + 311696^2 .

It is not a de Polignac number, because 167175494641 - 2¹⁹ = 167174970353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167175494611) 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, 272716651 + ... + 272717263.

Almost surely, 2^167175494641 is an apocalyptic number.

167175494641 is the 408871-st square number.

167175494641 is the 204436-th centered octagonal number.

It is an amenable number.

167175494641 is a deficient number, since it is larger than the sum of its proper divisors (14114270288).

167175494641 is an frugal number, since it uses more digits than its factorization.

167175494641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 55.

The spelling of 167175494641 in words is "one hundred sixty-seven billion, one hundred seventy-five million, four hundred ninety-four thousand, six hundred forty-one".