243256903200 has 432 divisors, whose sum is σ = 930414027816. Its totient is φ = 59562393600.

The previous prime is 243256903147. The next prime is 243256903237. The reversal of 243256903200 is 2309652342.

It is a happy number.

243256903200 is a `hidden beast` number, since 2 + 4 + 325 + 6 + 9 + 0 + 320 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12430466064 + 230826437136 = 111492^2 + 480444^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 4994164 + ... + 5042636.

Almost surely, 2^243256903200 is an apocalyptic number.

243256903200 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 243256903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465207013908).

243256903200 is an abundant number, since it is smaller than the sum of its proper divisors (687157124616).

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

243256903200 is a wasteful number, since it uses less digits than its factorization.

243256903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48557 (or 48541 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 243256903200 in words is "two hundred forty-three billion, two hundred fifty-six million, nine hundred three thousand, two hundred".