116413416 has 192 divisors, whose sum is σ = 398908800. Its totient is φ = 31256064.

The previous prime is 116413397. The next prime is 116413439. The reversal of 116413416 is 614314611.

116413416 is a `hidden beast` number, since 1 + 1 + 641 + 3 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116413416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179605 + ... + 180251.

It is an arithmetic number, because the mean of its divisors is an integer number (2077650).

Almost surely, 2^116413416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116413416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199454400).

116413416 is an abundant number, since it is smaller than the sum of its proper divisors (282495384).

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

116413416 is a wasteful number, since it uses less digits than its factorization.

116413416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 116413416 is about 10789.5049005967. The cubic root of 116413416 is about 488.2785854463.

The spelling of 116413416 in words is "one hundred sixteen million, four hundred thirteen thousand, four hundred sixteen".