116114688 has 144 divisors (see below), whose sum is σ = 348788160. Its totient is φ = 38098944.

The previous prime is 116114683. The next prime is 116114729. The reversal of 116114688 is 886411611.

It is a tau number, because it is divible by the number of its divisors (144).

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 (116114683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739506 + ... + 739662.

It is an arithmetic number, because the mean of its divisors is an integer number (2422140).

Almost surely, 2^116114688 is an apocalyptic number.

116114688 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 116114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174394080).

116114688 is an abundant number, since it is smaller than the sum of its proper divisors (232673472).

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

116114688 is a wasteful number, since it uses less digits than its factorization.

116114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

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

The square root of 116114688 is about 10775.6525556460. The cubic root of 116114688 is about 487.8605711138.

The spelling of 116114688 in words is "one hundred sixteen million, one hundred fourteen thousand, six hundred eighty-eight".