172338165351 has 64 divisors (see below), whose sum is σ = 282436654080. Its totient is φ = 104272660800.

The previous prime is 172338165317. The next prime is 172338165359. The reversal of 172338165351 is 153561833271.

172338165351 is a `hidden beast` number, since 1 + 7 + 2 + 33 + 81 + 6 + 535 + 1 = 666.

It is not a de Polignac number, because 172338165351 - 2²³ = 172329776743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 172338165297 and 172338165306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172338165359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15174291 + ... + 15185643.

It is an arithmetic number, because the mean of its divisors is an integer number (4413072720).

Almost surely, 2^172338165351 is an apocalyptic number.

172338165351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

172338165351 is a deficient number, since it is larger than the sum of its proper divisors (110098488729).

172338165351 is an equidigital number, since it uses as much as digits as its factorization.

172338165351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 11998 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 172338165351 in words is "one hundred seventy-two billion, three hundred thirty-eight million, one hundred sixty-five thousand, three hundred fifty-one".