116164314 has 64 divisors (see below), whose sum is σ = 305222400. Its totient is φ = 32042304.

The previous prime is 116164303. The next prime is 116164319. The reversal of 116164314 is 413461611.

116164314 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 643 + 14 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116164319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5664 + ... + 16260.

It is an arithmetic number, because the mean of its divisors is an integer number (4769100).

Almost surely, 2^116164314 is an apocalyptic number.

116164314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116164314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152611200).

116164314 is an abundant number, since it is smaller than the sum of its proper divisors (189058086).

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

116164314 is a wasteful number, since it uses less digits than its factorization.

116164314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644 (or 10638 counting only the distinct ones).

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

The square root of 116164314 is about 10777.9550008339. The cubic root of 116164314 is about 487.9300630986.

The spelling of 116164314 in words is "one hundred sixteen million, one hundred sixty-four thousand, three hundred fourteen".