117234831168 has 448 divisors, whose sum is σ = 446519808000. Its totient is φ = 29291010048.

The previous prime is 117234831079. The next prime is 117234831173. The reversal of 117234831168 is 861138432711.

117234831168 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 3 + 483 + 1 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2968093 + ... + 3007331.

It is an arithmetic number, because the mean of its divisors is an integer number (996696000).

Almost surely, 2^117234831168 is an apocalyptic number.

117234831168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117234831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223259904000).

117234831168 is an abundant number, since it is smaller than the sum of its proper divisors (329284976832).

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

117234831168 is a wasteful number, since it uses less digits than its factorization.

117234831168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39299 (or 39283 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 117234831168 in words is "one hundred seventeen billion, two hundred thirty-four million, eight hundred thirty-one thousand, one hundred sixty-eight".