117909582336 has 800 divisors, whose sum is σ = 438092793600. Its totient is φ = 30743691264.

The previous prime is 117909582289. The next prime is 117909582337. The reversal of 117909582336 is 633285909711.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (117909582337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 592510365 + ... + 592510563.

It is an arithmetic number, because the mean of its divisors is an integer number (547615992).

Almost surely, 2^117909582336 is an apocalyptic number.

117909582336 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 117909582336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219046396800).

117909582336 is an abundant number, since it is smaller than the sum of its proper divisors (320183211264).

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

117909582336 is a wasteful number, since it uses less digits than its factorization.

117909582336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 117909582336 in words is "one hundred seventeen billion, nine hundred nine million, five hundred eighty-two thousand, three hundred thirty-six".