172207118718441 has 9 divisors (see below), whose sum is σ = 248743672791991. Its totient is φ = 114804719566752.

The previous prime is 172207118718431. The next prime is 172207118718449. The reversal of 172207118718441 is 144817811702271.

It is a happy number.

The square root of 172207118718441 is 13122771.

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

172207118718441 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 0 + 7 + 1 + 187 + 18 + 441 = 666.

172207118718441 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., 100420541210025 + 71786577508416 = 10021005^2 + 8472696^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-172207118718441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172207118718449) 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, 37181185 + ... + 41555441.

Almost surely, 2^{172207118718441} is an apocalyptic number.

172207118718441 is the 13122771-st square number.

172207118718441 is the 6561386-th centered octagonal number.

It is an amenable number.

172207118718441 is a deficient number, since it is larger than the sum of its proper divisors (76536554073550).

172207118718441 is an frugal number, since it uses more digits than its factorization.

172207118718441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748520 (or 4374260 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 54.

The spelling of 172207118718441 in words is "one hundred seventy-two trillion, two hundred seven billion, one hundred eighteen million, seven hundred eighteen thousand, four hundred forty-one".