171156901968 has 120 divisors (see below), whose sum is σ = 521166457448. Its totient is φ = 52120682496.

The previous prime is 171156901933. The next prime is 171156901991. The reversal of 171156901968 is 869109651171.

It is a happy number.

171156901968 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 569 + 0 + 19 + 68 = 666.

171156901968 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 4 ways, for example, as 7947365904 + 163209536064 = 89148^2 + 403992^2 .

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 23 ways as a sum of consecutive naturals, for example, 289705 + ... + 652872.

Almost surely, 2^171156901968 is an apocalyptic number.

171156901968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

171156901968 is an abundant number, since it is smaller than the sum of its proper divisors (350009555480).

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

171156901968 is a wasteful number, since it uses less digits than its factorization.

171156901968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942701 (or 942692 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 171156901968 in words is "one hundred seventy-one billion, one hundred fifty-six million, nine hundred one thousand, nine hundred sixty-eight".