117232182144 has 256 divisors, whose sum is σ = 431374809600. Its totient is φ = 30449848320.

The previous prime is 117232182139. The next prime is 117232182227. The reversal of 117232182144 is 441281232711.

117232182144 is a `hidden beast` number, since 117 + 2 + 321 + 8 + 214 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 117232182099 and 117232182108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45844 + ... + 486380.

It is an arithmetic number, because the mean of its divisors is an integer number (1685057850).

Almost surely, 2^117232182144 is an apocalyptic number.

117232182144 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 117232182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215687404800).

117232182144 is an abundant number, since it is smaller than the sum of its proper divisors (314142627456).

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

117232182144 is a wasteful number, since it uses less digits than its factorization.

117232182144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440578 (or 440560 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The spelling of 117232182144 in words is "one hundred seventeen billion, two hundred thirty-two million, one hundred eighty-two thousand, one hundred forty-four".