116112682224 has 1260 divisors, whose sum is σ = 456195832848. Its totient is φ = 28452695040.

The previous prime is 116112682171. The next prime is 116112682229. The reversal of 116112682224 is 422286211611.

116112682224 is a `hidden beast` number, since 11 + 611 + 2 + 6 + 8 + 2 + 2 + 24 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (116112682229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1590584652 + ... + 1590584724.

Almost surely, 2^116112682224 is an apocalyptic number.

116112682224 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 116112682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228097916424).

116112682224 is an abundant number, since it is smaller than the sum of its proper divisors (340083150624).

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

116112682224 is a wasteful number, since it uses less digits than its factorization.

116112682224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

Adding to 116112682224 its reverse (422286211611), we get a palindrome (538398893835).

The spelling of 116112682224 in words is "one hundred sixteen billion, one hundred twelve million, six hundred eighty-two thousand, two hundred twenty-four".