117585564096 has 1344 divisors, whose sum is σ = 465322798080. Its totient is φ = 25268060160.

The previous prime is 117585564071. The next prime is 117585564101. The reversal of 117585564096 is 690465585711.

117585564096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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, 1610761116 + ... + 1610761188.

It is an arithmetic number, because the mean of its divisors is an integer number (346222320).

Almost surely, 2^117585564096 is an apocalyptic number.

117585564096 is a gapful number since it is divisible by the number (16) 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 117585564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232661399040).

117585564096 is an abundant number, since it is smaller than the sum of its proper divisors (347737233984).

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

117585564096 is a wasteful number, since it uses less digits than its factorization.

117585564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 117585564096 in words is "one hundred seventeen billion, five hundred eighty-five million, five hundred sixty-four thousand, ninety-six".