117850334400 has 504 divisors, whose sum is σ = 445036401264. Its totient is φ = 30656102400.

The previous prime is 117850334383. The next prime is 117850334411. The reversal of 117850334400 is 4433058711.

It is a happy number.

117850334400 is a `hidden beast` number, since 1 + 178 + 50 + 3 + 34 + 400 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15937104 + ... + 15944496.

Almost surely, 2^117850334400 is an apocalyptic number.

117850334400 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 117850334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222518200632).

117850334400 is an abundant number, since it is smaller than the sum of its proper divisors (327186066864).

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

117850334400 is an equidigital number, since it uses as much as digits as its factorization.

117850334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471 (or 7444 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 1178503 and 34400, that added together give a triangular number (1212903 = T₁₅₅₇).

The spelling of 117850334400 in words is "one hundred seventeen billion, eight hundred fifty million, three hundred thirty-four thousand, four hundred".