243513430228800 has 1176 divisors, whose sum is σ = 924005686851072. Its totient is φ = 63097574400000.

The previous prime is 243513430228793. The next prime is 243513430228801. The reversal of 243513430228800 is 8822034315342.

243513430228800 is a `hidden beast` number, since 2 + 4 + 3 + 5 + 1 + 343 + 0 + 228 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243513430228801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12003412257 + ... + 12003432543.

It is an arithmetic number, because the mean of its divisors is an integer number (785719121472).

Almost surely, 2^{243513430228800} is an apocalyptic number.

243513430228800 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 243513430228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462002843425536).

243513430228800 is an abundant number, since it is smaller than the sum of its proper divisors (680492256622272).

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

243513430228800 is a wasteful number, since it uses less digits than its factorization.

243513430228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20619 (or 20589 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 243513430228800 in words is "two hundred forty-three trillion, five hundred thirteen billion, four hundred thirty million, two hundred twenty-eight thousand, eight hundred".