216114216 has 64 divisors (see below), whose sum is σ = 562077120. Its totient is φ = 69189120.

The previous prime is 216114209. The next prime is 216114253. The reversal of 216114216 is 612411612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61236 + ... + 64668.

It is an arithmetic number, because the mean of its divisors is an integer number (8782455).

Almost surely, 2^216114216 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 216114216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281038560).

216114216 is an abundant number, since it is smaller than the sum of its proper divisors (345962904).

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

216114216 is a wasteful number, since it uses less digits than its factorization.

216114216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3542 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 216114216 is about 14700.8236503946. The cubic root of 216114216 is about 600.1057369206.

Adding to 216114216 its reverse (612411612), we get a palindrome (828525828).

The spelling of 216114216 in words is "two hundred sixteen million, one hundred fourteen thousand, two hundred sixteen".