243033224256 has 315 divisors, whose sum is σ = 742874756437. Its totient is φ = 78561930240.

The previous prime is 243033224209. The next prime is 243033224257. The reversal of 243033224256 is 652422330342.

The square root of 243033224256 is 492984.

It is a perfect power (a square), and thus also a powerful number.

243033224256 is a `hidden beast` number, since 2 + 4 + 30 + 332 + 242 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11710702656 + 231322521600 = 108216^2 + 480960^2 .

It is a super-3 number, since 3×243033224256³ (a number of 35 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 243033224256.

It is not an unprimeable number, because it can be changed into a prime (243033224257) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1455288685 + ... + 1455288851.

Almost surely, 2^243033224256 is an apocalyptic number.

243033224256 is the 492984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243033224256

243033224256 is an abundant number, since it is smaller than the sum of its proper divisors (499841532181).

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

243033224256 is an frugal number, since it uses more digits than its factorization.

243033224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Multiplying 243033224256 by its sum of digits (36), we get a square (8749196073216 = 2957904²).

243033224256 divided by its sum of digits (36) gives a square (6750922896 = 82164²).

Adding to 243033224256 its reverse (652422330342), we get a palindrome (895455554598).

The spelling of 243033224256 in words is "two hundred forty-three billion, thirty-three million, two hundred twenty-four thousand, two hundred fifty-six".