167183672161 has 9 divisors (see below), whose sum is σ = 183768814929. Its totient is φ = 151981067700.

The previous prime is 167183672137. The next prime is 167183672189. The reversal of 167183672161 is 161276381761.

The square root of 167183672161 is 408881.

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

It is not a de Polignac number, because 167183672161 - 2⁹ = 167183671649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167183670161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4479106 + ... + 4516276.

Almost surely, 2^167183672161 is an apocalyptic number.

167183672161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

167183672161 is the 408881-st square number.

167183672161 is the 204441-st centered octagonal number.

It is an amenable number.

167183672161 is a deficient number, since it is larger than the sum of its proper divisors (16585142768).

167183672161 is an frugal number, since it uses more digits than its factorization.

167183672161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74364 (or 37182 counting only the distinct ones).

The product of its digits is 508032, while the sum is 49.

Multiplying 167183672161 by its sum of digits (49), we get a square (8191999935889 = 2862167²).

The spelling of 167183672161 in words is "one hundred sixty-seven billion, one hundred eighty-three million, six hundred seventy-two thousand, one hundred sixty-one".