243314135400 has 576 divisors, whose sum is σ = 961126430400. Its totient is φ = 50535260160.

The previous prime is 243314135399. The next prime is 243314135401. The reversal of 243314135400 is 4531413342.

It is an interprime number because it is at equal distance from previous prime (243314135399) and next prime (243314135401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (243314135401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14485807 + ... + 14502593.

It is an arithmetic number, because the mean of its divisors is an integer number (1668622275).

Almost surely, 2^243314135400 is an apocalyptic number.

243314135400 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 243314135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480563215200).

243314135400 is an abundant number, since it is smaller than the sum of its proper divisors (717812295000).

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

243314135400 is a wasteful number, since it uses less digits than its factorization.

243314135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16866 (or 16850 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 243314135400 its reverse (4531413342), we get a palindrome (247845548742).

The spelling of 243314135400 in words is "two hundred forty-three billion, three hundred fourteen million, one hundred thirty-five thousand, four hundred".