243113243024000 has 256 divisors, whose sum is σ = 617376134269440. Its totient is φ = 95164623360000.

The previous prime is 243113243023999. The next prime is 243113243024009. The reversal of 243113243024000 is 420342311342.

243113243024000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243113243024009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8713410050 + ... + 8713437950.

It is an arithmetic number, because the mean of its divisors is an integer number (2411625524490).

Almost surely, 2^{243113243024000} is an apocalyptic number.

243113243024000 is a gapful number since it is divisible by the number (20) 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 243113243024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308688067134720).

243113243024000 is an abundant number, since it is smaller than the sum of its proper divisors (374262891245440).

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

243113243024000 is a wasteful number, since it uses less digits than its factorization.

243113243024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39564 (or 39542 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 243113243024000 its reverse (420342311342), we get a palindrome (243533585335342).

The spelling of 243113243024000 in words is "two hundred forty-three trillion, one hundred thirteen billion, two hundred forty-three million, twenty-four thousand".