117305459200 has 60 divisors (see below), whose sum is σ = 290633471370. Its totient is φ = 46922178560.

The previous prime is 117305459171. The next prime is 117305459237. The reversal of 117305459200 is 2954503711.

It can be written as a sum of positive squares in 3 ways, for example, as 105775853824 + 11529605376 = 325232^2 + 107376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117305459200.

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 5 ways as a sum of consecutive naturals, for example, 4569445 + ... + 4595044.

Almost surely, 2^117305459200 is an apocalyptic number.

117305459200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117305459200 is an abundant number, since it is smaller than the sum of its proper divisors (173328012170).

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

117305459200 is an frugal number, since it uses more digits than its factorization.

117305459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164517 (or 9164496 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 117305459200 in words is "one hundred seventeen billion, three hundred five million, four hundred fifty-nine thousand, two hundred".