117358113600 has 2016 divisors, whose sum is σ = 554700496896. Its totient is φ = 23738572800.

The previous prime is 117358113581. The next prime is 117358113619. The reversal of 117358113600 is 6311853711.

117358113600 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 581 + 13 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117358113581) and next prime (117358113619).

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 (36).

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 287 ways as a sum of consecutive naturals, for example, 1096804747 + ... + 1096804853.

It is an arithmetic number, because the mean of its divisors is an integer number (275149056).

Almost surely, 2^117358113600 is an apocalyptic number.

117358113600 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 117358113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277350248448).

117358113600 is an abundant number, since it is smaller than the sum of its proper divisors (437342383296).

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

117358113600 is a wasteful number, since it uses less digits than its factorization.

117358113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 117358113600 in words is "one hundred seventeen billion, three hundred fifty-eight million, one hundred thirteen thousand, six hundred".