243318348000 has 1728 divisors, whose sum is σ = 1133403643008. Its totient is φ = 48129638400.

The previous prime is 243318347959. The next prime is 243318348011. The reversal of 243318348000 is 843813342.

It is a happy number.

243318348000 is a `hidden beast` number, since 2 + 433 + 183 + 48 + 0 + 0 + 0 = 666.

243318348000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 946763872 + ... + 946764128.

It is an arithmetic number, because the mean of its divisors is an integer number (655904886).

Almost surely, 2^243318348000 is an apocalyptic number.

243318348000 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 243318348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566701821504).

243318348000 is an abundant number, since it is smaller than the sum of its proper divisors (890085295008).

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

243318348000 is a wasteful number, since it uses less digits than its factorization.

243318348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 243318348000 in words is "two hundred forty-three billion, three hundred eighteen million, three hundred forty-eight thousand".