117184645960272 has 720 divisors, whose sum is σ = 371777843236800. Its totient is φ = 34410106368000.

The previous prime is 117184645960253. The next prime is 117184645960279. The reversal of 117184645960272 is 272069546481711.

It is a happy number.

117184645960272 is a `hidden beast` number, since 1 + 1 + 7 + 18 + 4 + 6 + 4 + 5 + 9 + 602 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117184645960279) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76541244147 + ... + 76541245677.

Almost surely, 2^{117184645960272} is an apocalyptic number.

117184645960272 is a gapful number since it is divisible by the number (12) 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 117184645960272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185888921618400).

117184645960272 is an abundant number, since it is smaller than the sum of its proper divisors (254593197276528).

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

117184645960272 is a wasteful number, since it uses less digits than its factorization.

117184645960272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 117184645960272 in words is "one hundred seventeen trillion, one hundred eighty-four billion, six hundred forty-five million, nine hundred sixty thousand, two hundred seventy-two".