116413668 has 72 divisors (see below), whose sum is σ = 337296960. Its totient is φ = 33163200.

The previous prime is 116413663. The next prime is 116413669. The reversal of 116413668 is 866314611.

116413668 is a `hidden beast` number, since 1 + 1 + 641 + 3 + 6 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116413663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165718 + ... + 166418.

It is an arithmetic number, because the mean of its divisors is an integer number (4684680).

Almost surely, 2^116413668 is an apocalyptic number.

116413668 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 116413668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

116413668 is an abundant number, since it is smaller than the sum of its proper divisors (220883292).

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

116413668 is a wasteful number, since it uses less digits than its factorization.

116413668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1372 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 116413668 is about 10789.5165786054. The cubic root of 116413668 is about 488.2789377714.

The spelling of 116413668 in words is "one hundred sixteen million, four hundred thirteen thousand, six hundred sixty-eight".