243814616960 has 128 divisors (see below), whose sum is σ = 613899648000. Its totient is φ = 92413167616.

The previous prime is 243814616957. The next prime is 243814616987. The reversal of 243814616960 is 69616418342.

243814616960 is digitally balanced in base 2, 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 243814616899 and 243814616908.

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 15 ways as a sum of consecutive naturals, for example, 1497641 + ... + 1652439.

It is an arithmetic number, because the mean of its divisors is an integer number (4796091000).

Almost surely, 2^243814616960 is an apocalyptic number.

243814616960 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 243814616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306949824000).

243814616960 is an abundant number, since it is smaller than the sum of its proper divisors (370085031040).

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

243814616960 is a wasteful number, since it uses less digits than its factorization.

243814616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154948 (or 154936 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 243814616960 in words is "two hundred forty-three billion, eight hundred fourteen million, six hundred sixteen thousand, nine hundred sixty".