243338147172120 has 1024 divisors, whose sum is σ = 1005968852582400. Its totient is φ = 45460883128320.

The previous prime is 243338147172083. The next prime is 243338147172139. The reversal of 243338147172120 is 21271741833342.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 243338147172120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 716105697 + ... + 716445423.

It is an arithmetic number, because the mean of its divisors is an integer number (982391457600).

Almost surely, 2^{243338147172120} is an apocalyptic number.

243338147172120 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 243338147172120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502984426291200).

243338147172120 is an abundant number, since it is smaller than the sum of its proper divisors (762630705410280).

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

243338147172120 is a wasteful number, since it uses less digits than its factorization.

243338147172120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339928 (or 339924 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 243338147172120 in words is "two hundred forty-three trillion, three hundred thirty-eight billion, one hundred forty-seven million, one hundred seventy-two thousand, one hundred twenty".