116337312 has 288 divisors, whose sum is σ = 427085568. Its totient is φ = 29196288.

The previous prime is 116337283. The next prime is 116337337. The reversal of 116337312 is 213733611.

116337312 is a `hidden beast` number, since 1 + 16 + 337 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (2268) is a multiple of the sum of its prime factors (252).

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, 602688 + ... + 602880.

It is an arithmetic number, because the mean of its divisors is an integer number (1482936).

Almost surely, 2^116337312 is an apocalyptic number.

116337312 is a gapful number since it is divisible by the number (12) 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 116337312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213542784).

116337312 is an abundant number, since it is smaller than the sum of its proper divisors (310748256).

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

116337312 is a wasteful number, since it uses less digits than its factorization.

116337312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 116337312 is about 10785.9775634849. The cubic root of 116337312 is about 488.1721599863.

The spelling of 116337312 in words is "one hundred sixteen million, three hundred thirty-seven thousand, three hundred twelve".