117152433216 has 630 divisors, whose sum is σ = 437600373210. Its totient is φ = 30886023168.

The previous prime is 117152433197. The next prime is 117152433227. The reversal of 117152433216 is 612334251711.

117152433216 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 5 + 2 + 433 + 216 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10160640000 + 106991793216 = 100800^2 + 327096^2 .

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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 42927340 + ... + 42930068.

It is an arithmetic number, because the mean of its divisors is an integer number (694603767).

Almost surely, 2^117152433216 is an apocalyptic number.

117152433216 is a gapful number since it is divisible by the number (16) 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 117152433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218800186605).

117152433216 is an abundant number, since it is smaller than the sum of its proper divisors (320447939994).

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

117152433216 is a wasteful number, since it uses less digits than its factorization.

117152433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2754 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 117152433216 its reverse (612334251711), we get a palindrome (729486684927).

The spelling of 117152433216 in words is "one hundred seventeen billion, one hundred fifty-two million, four hundred thirty-three thousand, two hundred sixteen".