116144316288 has 1920 divisors, whose sum is σ = 505591511040. Its totient is φ = 25530163200.

The previous prime is 116144316287. The next prime is 116144316293. The reversal of 116144316288 is 882613441611.

116144316288 is a `hidden beast` number, since 1 + 1 + 6 + 14 + 4 + 3 + 1 + 628 + 8 = 666.

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 (116144316283) 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 239 ways as a sum of consecutive naturals, for example, 3746590833 + ... + 3746590863.

It is an arithmetic number, because the mean of its divisors is an integer number (263328912).

Almost surely, 2^116144316288 is an apocalyptic number.

116144316288 is a gapful number since it is divisible by the number (18) 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 116144316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252795755520).

116144316288 is an abundant number, since it is smaller than the sum of its proper divisors (389447194752).

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

116144316288 is a wasteful number, since it uses less digits than its factorization.

116144316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 86 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

Adding to 116144316288 its reverse (882613441611), we get a palindrome (998757757899).

The spelling of 116144316288 in words is "one hundred sixteen billion, one hundred forty-four million, three hundred sixteen thousand, two hundred eighty-eight".