117090584208 has 960 divisors, whose sum is σ = 414933442560. Its totient is φ = 31603654656.

The previous prime is 117090584161. The next prime is 117090584231. The reversal of 117090584208 is 802485090711.

117090584208 is a `hidden beast` number, since 1 + 170 + 9 + 0 + 58 + 420 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 921973041 + ... + 921973167.

It is an arithmetic number, because the mean of its divisors is an integer number (432222336).

Almost surely, 2^117090584208 is an apocalyptic number.

117090584208 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 117090584208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207466721280).

117090584208 is an abundant number, since it is smaller than the sum of its proper divisors (297842858352).

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

117090584208 is a wasteful number, since it uses less digits than its factorization.

117090584208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 117090584208 in words is "one hundred seventeen billion, ninety million, five hundred eighty-four thousand, two hundred eight".