117974934000 has 1280 divisors, whose sum is σ = 558221414400. Its totient is φ = 23058432000.

The previous prime is 117974933977. The next prime is 117974934043. The reversal of 117974934000 is 439479711.

117974934000 is a `hidden beast` number, since 1 + 179 + 74 + 9 + 3 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70685166 + ... + 70686834.

It is an arithmetic number, because the mean of its divisors is an integer number (436110480).

Almost surely, 2^117974934000 is an apocalyptic number.

117974934000 is a gapful number since it is divisible by the number (10) 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 117974934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279110707200).

117974934000 is an abundant number, since it is smaller than the sum of its proper divisors (440246480400).

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

117974934000 is a wasteful number, since it uses less digits than its factorization.

117974934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 117974934000 in words is "one hundred seventeen billion, nine hundred seventy-four million, nine hundred thirty-four thousand".