243303220460032 has 160 divisors (see below), whose sum is σ = 508839433241040. Its totient is φ = 116116557004800.

The previous prime is 243303220460021. The next prime is 243303220460077. The reversal of 243303220460032 is 230064022303342.

It can be written as a sum of positive squares in 8 ways, for example, as 222959367966976 + 20343852493056 = 14931824^2 + 4510416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 243303220460032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207971188 + ... + 209137804.

Almost surely, 2^{243303220460032} 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 243303220460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254419716620520).

243303220460032 is an abundant number, since it is smaller than the sum of its proper divisors (265536212781008).

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

243303220460032 is a wasteful number, since it uses less digits than its factorization.

243303220460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166882 (or 1166866 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 243303220460032 its reverse (230064022303342), we get a palindrome (473367242763374).

The spelling of 243303220460032 in words is "two hundred forty-three trillion, three hundred three billion, two hundred twenty million, four hundred sixty thousand, thirty-two".