264172393931161 has 27 divisors (see below), whose sum is σ = 269016587392959. Its totient is φ = 259414883032032.

The previous prime is 264172393931107. The next prime is 264172393931167. The reversal of 264172393931161 is 161139393271462.

It is a happy number.

The square root of 264172393931161 is 16253381.

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., 53648080515225 + 210524313415936 = 7324485^2 + 14509456^2 .

It is a de Polignac number, because none of the positive numbers 2^k-264172393931161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264172393931096 and 264172393931105.

It is not an unprimeable number, because it can be changed into a prime (264172393931167) 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 26 ways as a sum of consecutive naturals, for example, 299175983626 + ... + 299175984508.

Almost surely, 2^{264172393931161} is an apocalyptic number.

264172393931161 is the 16253381-st square number.

264172393931161 is the 8126691-st centered octagonal number.

It is an amenable number.

264172393931161 is a deficient number, since it is larger than the sum of its proper divisors (4844193461798).

264172393931161 is an frugal number, since it uses more digits than its factorization.

264172393931161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 1195 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 58.

The spelling of 264172393931161 in words is "two hundred sixty-four trillion, one hundred seventy-two billion, three hundred ninety-three million, nine hundred thirty-one thousand, one hundred sixty-one".