117936230400 has 468 divisors, whose sum is σ = 428453091508. Its totient is φ = 31001149440.

The previous prime is 117936230387. The next prime is 117936230411. The reversal of 117936230400 is 4032639711.

117936230400 is a `hidden beast` number, since 1 + 17 + 9 + 3 + 6 + 230 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19269881856 + 98666348544 = 138816^2 + 314112^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67275924 + ... + 67277676.

Almost surely, 2^117936230400 is an apocalyptic number.

117936230400 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 117936230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214226545754).

117936230400 is an abundant number, since it is smaller than the sum of its proper divisors (310516861108).

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

117936230400 is a wasteful number, since it uses less digits than its factorization.

117936230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 117936230400 in words is "one hundred seventeen billion, nine hundred thirty-six million, two hundred thirty thousand, four hundred".