243507445120 has 256 divisors, whose sum is σ = 638413332480. Its totient is φ = 88448532480.

The previous prime is 243507445091. The next prime is 243507445133. The reversal of 243507445120 is 21544705342.

It is a self number, because there is not a number n which added to its sum of digits gives 243507445120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38827585 + ... + 38833855.

It is an arithmetic number, because the mean of its divisors is an integer number (2493802080).

Almost surely, 2^243507445120 is an apocalyptic number.

243507445120 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 243507445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319206666240).

243507445120 is an abundant number, since it is smaller than the sum of its proper divisors (394905887360).

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

243507445120 is a wasteful number, since it uses less digits than its factorization.

243507445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The spelling of 243507445120 in words is "two hundred forty-three billion, five hundred seven million, four hundred forty-five thousand, one hundred twenty".