117456509184 has 432 divisors, whose sum is σ = 389201964480. Its totient is φ = 31259934720.

The previous prime is 117456509173. The next prime is 117456509231. The reversal of 117456509184 is 481905654711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43614142 + ... + 43616834.

Almost surely, 2^117456509184 is an apocalyptic number.

117456509184 is a gapful number since it is divisible by the number (14) 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 117456509184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194600982240).

117456509184 is an abundant number, since it is smaller than the sum of its proper divisors (271745455296).

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

117456509184 is a wasteful number, since it uses less digits than its factorization.

117456509184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

It can be divided in two parts, 117456 and 509184, that added together give a triangular number (626640 = T₁₁₁₉).

The spelling of 117456509184 in words is "one hundred seventeen billion, four hundred fifty-six million, five hundred nine thousand, one hundred eighty-four".