243268012800 has 270 divisors, whose sum is σ = 899474600948. Its totient is φ = 64871331840.

The previous prime is 243268012789. The next prime is 243268012831. The reversal of 243268012800 is 8210862342.

It is a tau number, because it is divible by the number of its divisors (270).

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 29 ways as a sum of consecutive naturals, for example, 283767 + ... + 753033.

Almost surely, 2^243268012800 is an apocalyptic number.

243268012800 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 243268012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449737300474).

243268012800 is an abundant number, since it is smaller than the sum of its proper divisors (656206588148).

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

243268012800 is an equidigital number, since it uses as much as digits as its factorization.

243268012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469305 (or 469277 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 243268012800 in words is "two hundred forty-three billion, two hundred sixty-eight million, twelve thousand, eight hundred".