243366816 has 288 divisors, whose sum is σ = 833341824. Its totient is φ = 60825600.

The previous prime is 243366803. The next prime is 243366817. The reversal of 243366816 is 618663342.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (243366817) 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 47 ways as a sum of consecutive naturals, for example, 3333756 + ... + 3333828.

It is an arithmetic number, because the mean of its divisors is an integer number (2893548).

Almost surely, 2^243366816 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 243366816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416670912).

243366816 is an abundant number, since it is smaller than the sum of its proper divisors (589975008).

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

243366816 is a wasteful number, since it uses less digits than its factorization.

243366816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 243366816 is about 15600.2184600088. The cubic root of 243366816 is about 624.3389841260.

The spelling of 243366816 in words is "two hundred forty-three million, three hundred sixty-six thousand, eight hundred sixteen".