116214336 has 336 divisors, whose sum is σ = 421599360. Its totient is φ = 29859840.

The previous prime is 116214323. The next prime is 116214341. The reversal of 116214336 is 633412611.

116214336 is a `hidden beast` number, since 1 + 1 + 621 + 4 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 3.

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, 2834476 + ... + 2834516.

It is an arithmetic number, because the mean of its divisors is an integer number (1254760).

Almost surely, 2^116214336 is an apocalyptic number.

116214336 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 116214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210799680).

116214336 is an abundant number, since it is smaller than the sum of its proper divisors (305385024).

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

116214336 is a wasteful number, since it uses less digits than its factorization.

116214336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 116214336 is about 10780.2753211595. The cubic root of 116214336 is about 488.0000895816. Note that the first 4 decimals are identical.

Adding to 116214336 its reverse (633412611), we get a palindrome (749626947).

The spelling of 116214336 in words is "one hundred sixteen million, two hundred fourteen thousand, three hundred thirty-six".