243433314144 has 96 divisors (see below), whose sum is σ = 710103421440. Its totient is φ = 81134199936.

The previous prime is 243433314127. The next prime is 243433314181. The reversal of 243433314144 is 441413334342.

243433314144 is a `hidden beast` number, since 2 + 43 + 433 + 3 + 141 + 44 = 666.

243433314144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 243433314099 and 243433314108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10293117 + ... + 10316739.

It is an arithmetic number, because the mean of its divisors is an integer number (7396910640).

Almost surely, 2^243433314144 is an apocalyptic number.

243433314144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243433314144 is an abundant number, since it is smaller than the sum of its proper divisors (466670107296).

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

243433314144 is a wasteful number, since it uses less digits than its factorization.

243433314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35569 (or 35555 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 243433314144 its reverse (441413334342), we get a palindrome (684846648486).

The spelling of 243433314144 in words is "two hundred forty-three billion, four hundred thirty-three million, three hundred fourteen thousand, one hundred forty-four".