117935630208 has 1024 divisors, whose sum is σ = 432414720000. Its totient is φ = 31203532800.

The previous prime is 117935630203. The next prime is 117935630243. The reversal of 117935630208 is 802036539711.

117935630208 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 3 + 5 + 630 + 2 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117935630203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 515002638 + ... + 515002866.

It is an arithmetic number, because the mean of its divisors is an integer number (422280000).

Almost surely, 2^117935630208 is an apocalyptic number.

117935630208 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 117935630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216207360000).

117935630208 is an abundant number, since it is smaller than the sum of its proper divisors (314479089792).

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

117935630208 is a wasteful number, since it uses less digits than its factorization.

117935630208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 117935630208 in words is "one hundred seventeen billion, nine hundred thirty-five million, six hundred thirty thousand, two hundred eight".