243824132304 has 240 divisors, whose sum is σ = 696732192000. Its totient is φ = 79589689344.

The previous prime is 243824132297. The next prime is 243824132309. The reversal of 243824132304 is 403231428342.

243824132304 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 2 + 413 + 230 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243824132309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679175677 + ... + 679176035.

It is an arithmetic number, because the mean of its divisors is an integer number (2903050800).

Almost surely, 2^243824132304 is an apocalyptic number.

243824132304 is a gapful number since it is divisible by the number (24) 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 243824132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348366096000).

243824132304 is an abundant number, since it is smaller than the sum of its proper divisors (452908059696).

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

243824132304 is a wasteful number, since it uses less digits than its factorization.

243824132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 243824132304 in words is "two hundred forty-three billion, eight hundred twenty-four million, one hundred thirty-two thousand, three hundred four".