117999016869888 has 1482 divisors, whose sum is σ = 444689382756248. Its totient is φ = 30649095290880.

The previous prime is 117999016869871. The next prime is 117999016869911. The reversal of 117999016869888 is 888968610999711.

117999016869888 is a `hidden beast` number, since 117 + 99 + 90 + 168 + 6 + 98 + 88 = 666.

It is a super-3 number, since 3×117999016869888³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 117999016869798 and 117999016869807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 10727183351803 + ... + 10727183351813.

Almost surely, 2^{117999016869888} is an apocalyptic number.

117999016869888 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 117999016869888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222344691378124).

117999016869888 is an abundant number, since it is smaller than the sum of its proper divisors (326690365886360).

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

117999016869888 is an frugal number, since it uses more digits than its factorization.

117999016869888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6772211712, while the sum is 90.

117999016869888 divided by its product of nonzero digits (6772211712) gives a square (17424 = 132²).

The spelling of 117999016869888 in words is "one hundred seventeen trillion, nine hundred ninety-nine billion, sixteen million, eight hundred sixty-nine thousand, eight hundred eighty-eight".