171153114688304 has 80 divisors (see below), whose sum is σ = 392900675872320. Its totient is φ = 70668351022080.

The previous prime is 171153114688289. The next prime is 171153114688397. The reversal of 171153114688304 is 403886411351171.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55655519 + ... + 58650174.

It is an arithmetic number, because the mean of its divisors is an integer number (4911258448404).

Almost surely, 2^{171153114688304} is an apocalyptic number.

171153114688304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

171153114688304 is an abundant number, since it is smaller than the sum of its proper divisors (221747561184016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171153114688304 is a wasteful number, since it uses less digits than its factorization.

171153114688304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114306198 (or 114306192 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 171153114688304 in words is "one hundred seventy-one trillion, one hundred fifty-three billion, one hundred fourteen million, six hundred eighty-eight thousand, three hundred four".