116141688 has 160 divisors (see below), whose sum is σ = 371392560. Its totient is φ = 33592320.

The previous prime is 116141681. The next prime is 116141713. The reversal of 116141688 is 886141611.

116141688 is a `hidden beast` number, since 1 + 161 + 416 + 88 = 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 (116141681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142803 + ... + 143613.

Almost surely, 2^116141688 is an apocalyptic number.

116141688 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 116141688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185696280).

116141688 is an abundant number, since it is smaller than the sum of its proper divisors (255250872).

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

116141688 is a wasteful number, since it uses less digits than its factorization.

116141688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 846 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 116141688 is about 10776.9053071835. The cubic root of 116141688 is about 487.8983820482.

It can be divided in two parts, 1161 and 41688, that added together give a square (42849 = 207²).

The spelling of 116141688 in words is "one hundred sixteen million, one hundred forty-one thousand, six hundred eighty-eight".