171188645968 has 20 divisors (see below), whose sum is σ = 331684434900. Its totient is φ = 85592662784.

The previous prime is 171188645959. The next prime is 171188645983. The reversal of 171188645968 is 869546881171.

171188645968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34235360784 + 136953285184 = 185028^2 + 370072^2 .

It is a super-3 number, since 3×171188645968³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1472796 + ... + 1584772.

It is an arithmetic number, because the mean of its divisors is an integer number (16584221745).

Almost surely, 2^171188645968 is an apocalyptic number.

It is an amenable number.

171188645968 is a deficient number, since it is larger than the sum of its proper divisors (160495788932).

171188645968 is a wasteful number, since it uses less digits than its factorization.

171188645968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207534 (or 207528 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 64.

The spelling of 171188645968 in words is "one hundred seventy-one billion, one hundred eighty-eight million, six hundred forty-five thousand, nine hundred sixty-eight".