117834393600 has 2016 divisors, whose sum is σ = 559443568320. Its totient is φ = 23887872000.

The previous prime is 117834393571. The next prime is 117834393619. The reversal of 117834393600 is 6393438711.

117834393600 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 3 + 4 + 39 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 167 ways as a sum of consecutive naturals, for example, 2874009580 + ... + 2874009620.

It is an arithmetic number, because the mean of its divisors is an integer number (277501770).

Almost surely, 2^117834393600 is an apocalyptic number.

117834393600 is a gapful number since it is divisible by the number (10) 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 117834393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279721784160).

117834393600 is an abundant number, since it is smaller than the sum of its proper divisors (441609174720).

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

117834393600 is an equidigital number, since it uses as much as digits as its factorization.

117834393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 117834393600 in words is "one hundred seventeen billion, eight hundred thirty-four million, three hundred ninety-three thousand, six hundred".