172334334141081 has 18 divisors (see below), whose sum is σ = 289568575054122. Its totient is φ = 98476762366080.

The previous prime is 172334334141059. The next prime is 172334334141083. The reversal of 172334334141081 is 180141433433271.

172334334141081 is a `hidden beast` number, since 1 + 7 + 233 + 4 + 334 + 1 + 4 + 1 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98871521749056 + 73462812392025 = 9943416^2 + 8571045^2 .

It is not a de Polignac number, because 172334334141081 - 2¹⁰ = 172334334140057 is a prime.

It is a super-2 number, since 2×172334334141081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172334334141083) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 195390401080 + ... + 195390401961.

Almost surely, 2^{172334334141081} is an apocalyptic number.

It is an amenable number.

172334334141081 is a deficient number, since it is larger than the sum of its proper divisors (117234240913041).

172334334141081 is a wasteful number, since it uses less digits than its factorization.

172334334141081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390780803061 (or 390780803051 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 172334334141081 in words is "one hundred seventy-two trillion, three hundred thirty-four billion, three hundred thirty-four million, one hundred forty-one thousand, eighty-one".