172807614388161 has 9 divisors (see below), whose sum is σ = 249611055525091. Its totient is φ = 115205049967512.

The previous prime is 172807614388153. The next prime is 172807614388177. The reversal of 172807614388161 is 161883416708271.

The square root of 172807614388161 is 13145631.

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

172807614388161 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 0 + 7 + 61 + 438 + 81 + 61 = 666.

172807614388161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 169986706031025 + 2820908357136 = 13037895^2 + 1679556^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 172807614388161 - 2³ = 172807614388153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172807614388111) 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, 37245955 + ... + 41627831.

Almost surely, 2^{172807614388161} is an apocalyptic number.

172807614388161 is the 13145631-st square number.

172807614388161 is the 6572816-th centered octagonal number.

It is an amenable number.

172807614388161 is a deficient number, since it is larger than the sum of its proper divisors (76803441136930).

172807614388161 is an frugal number, since it uses more digits than its factorization.

172807614388161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8763760 (or 4381880 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 172807614388161 in words is "one hundred seventy-two trillion, eight hundred seven billion, six hundred fourteen million, three hundred eighty-eight thousand, one hundred sixty-one".