171081350688 has 192 divisors, whose sum is σ = 492584924160. Its totient is φ = 51936768000.

The previous prime is 171081350683. The next prime is 171081350701. The reversal of 171081350688 is 886053180171.

171081350688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (171081350681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14615238 + ... + 14626938.

It is an arithmetic number, because the mean of its divisors is an integer number (2565546480).

Almost surely, 2^171081350688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171081350688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246292462080).

171081350688 is an abundant number, since it is smaller than the sum of its proper divisors (321503573472).

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

171081350688 is a wasteful number, since it uses less digits than its factorization.

171081350688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11796 (or 11754 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 171081350688 in words is "one hundred seventy-one billion, eighty-one million, three hundred fifty thousand, six hundred eighty-eight".