116218416 has 80 divisors (see below), whose sum is σ = 307445600. Its totient is φ = 37822464.

The previous prime is 116218393. The next prime is 116218429. The reversal of 116218416 is 614812611.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507390 + ... + 507618.

It is an arithmetic number, because the mean of its divisors is an integer number (3843070).

Almost surely, 2^116218416 is an apocalyptic number.

116218416 is a gapful number since it is divisible by the number (16) 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 116218416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153722800).

116218416 is an abundant number, since it is smaller than the sum of its proper divisors (191227184).

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

116218416 is a wasteful number, since it uses less digits than its factorization.

116218416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 116218416 is about 10780.4645539977. The cubic root of 116218416 is about 488.0058003431.

The spelling of 116218416 in words is "one hundred sixteen million, two hundred eighteen thousand, four hundred sixteen".