172616101616271 has 64 divisors (see below), whose sum is σ = 239292549619200. Its totient is φ = 110590119714816.

The previous prime is 172616101616207. The next prime is 172616101616293.

172616101616271 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 172616101616271 - 2⁶ = 172616101616207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 172616101616271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172616101616471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18299168571 + ... + 18299178003.

It is an arithmetic number, because the mean of its divisors is an integer number (3738946087800).

Almost surely, 2^{172616101616271} is an apocalyptic number.

172616101616271 is a deficient number, since it is larger than the sum of its proper divisors (66676448002929).

172616101616271 is a wasteful number, since it uses less digits than its factorization.

172616101616271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12808.

The product of its (nonzero) digits is 254016, while the sum is 48.

It can be divided in two parts, 17261610 and 1616271, that added together give a palindrome (18877881).

The spelling of 172616101616271 in words is "one hundred seventy-two trillion, six hundred sixteen billion, one hundred one million, six hundred sixteen thousand, two hundred seventy-one".