171014927268 has 96 divisors (see below), whose sum is σ = 426688940160. Its totient is φ = 53121761280.

The previous prime is 171014927263. The next prime is 171014927269. The reversal of 171014927268 is 862729410171.

171014927268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×171014927268³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (171014927261) 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, 26022423 + ... + 26028993.

It is an arithmetic number, because the mean of its divisors is an integer number (4444676460).

Almost surely, 2^171014927268 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 171014927268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213344470080).

171014927268 is an abundant number, since it is smaller than the sum of its proper divisors (255674012892).

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

171014927268 is a wasteful number, since it uses less digits than its factorization.

171014927268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 171014927268 in words is "one hundred seventy-one billion, fourteen million, nine hundred twenty-seven thousand, two hundred sixty-eight".