216366336 has 144 divisors (see below), whose sum is σ = 668142720. Its totient is φ = 68935680.

The previous prime is 216366331. The next prime is 216366349. The reversal of 216366336 is 633663612.

It is a happy number.

216366336 is a `hidden beast` number, since 2 + 16 + 3 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 216366336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216366331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 158296 + ... + 159656.

It is an arithmetic number, because the mean of its divisors is an integer number (4639880).

Almost surely, 2^216366336 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 216366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334071360).

216366336 is an abundant number, since it is smaller than the sum of its proper divisors (451776384).

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

216366336 is a wasteful number, since it uses less digits than its factorization.

216366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1389 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 216366336 is about 14709.3961806731. The cubic root of 216366336 is about 600.3390084194.

It can be divided in two parts, 21636 and 6336, that added together give a palindrome (27972).

The spelling of 216366336 in words is "two hundred sixteen million, three hundred sixty-six thousand, three hundred thirty-six".