172799343997271 has 8 divisors (see below), whose sum is σ = 173690914597200. Its totient is φ = 171907919019648.

The previous prime is 172799343997157. The next prime is 172799343997277.

172799343997271 is nontrivially palindromic in base 10.

172799343997271 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-172799343997271 is a prime.

It is a super-3 number, since 3×172799343997271³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172799343997277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34025801 + ... + 38773106.

It is an arithmetic number, because the mean of its divisors is an integer number (21711364324650).

Almost surely, 2^{172799343997271} is an apocalyptic number.

172799343997271 is a deficient number, since it is larger than the sum of its proper divisors (891570599929).

172799343997271 is a wasteful number, since it uses less digits than its factorization.

172799343997271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72811153.

The product of its digits is 2268426384, while the sum is 80.

The spelling of 172799343997271 in words is "one hundred seventy-two trillion, seven hundred ninety-nine billion, three hundred forty-three million, nine hundred ninety-seven thousand, two hundred seventy-one".