216363312 has 120 divisors (see below), whose sum is σ = 685164480. Its totient is φ = 65551680.

The previous prime is 216363289. The next prime is 216363337. The reversal of 216363312 is 213363612.

It is a happy number.

216363312 is a `hidden beast` number, since 2 + 16 + 3 + 633 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40239 + ... + 45297.

It is an arithmetic number, because the mean of its divisors is an integer number (5709704).

Almost surely, 2^216363312 is an apocalyptic number.

216363312 is a gapful number since it is divisible by the number (22) 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 216363312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342582240).

216363312 is an abundant number, since it is smaller than the sum of its proper divisors (468801168).

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

216363312 is a wasteful number, since it uses less digits than its factorization.

216363312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5075 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 216363312 is about 14709.2933888749. The cubic root of 216363312 is about 600.3362115678.

The spelling of 216363312 in words is "two hundred sixteen million, three hundred sixty-three thousand, three hundred twelve".