172665142316361 has 72 divisors (see below), whose sum is σ = 271440616322304. Its totient is φ = 105695039923200.

The previous prime is 172665142316279. The next prime is 172665142316417. The reversal of 172665142316361 is 163613241566271.

172665142316361 is a `hidden beast` number, since 1 + 7 + 2 + 6 + 6 + 51 + 423 + 163 + 6 + 1 = 666.

It is not a de Polignac number, because 172665142316361 - 2⁹ = 172665142315849 is a prime.

It is a super-2 number, since 2×172665142316361² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 172665142316298 and 172665142316307.

It is not an unprimeable number, because it can be changed into a prime (172665142396361) 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 71 ways as a sum of consecutive naturals, for example, 36007036 + ... + 40519586.

It is an arithmetic number, because the mean of its divisors is an integer number (3770008560032).

Almost surely, 2^{172665142316361} is an apocalyptic number.

It is an amenable number.

172665142316361 is a deficient number, since it is larger than the sum of its proper divisors (98775474005943).

172665142316361 is a wasteful number, since it uses less digits than its factorization.

172665142316361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512951 (or 4512931 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 172665142316361 in words is "one hundred seventy-two trillion, six hundred sixty-five billion, one hundred forty-two million, three hundred sixteen thousand, three hundred sixty-one".