243828921600 has 756 divisors, whose sum is σ = 987325682112. Its totient is φ = 59097600000.

The previous prime is 243828921599. The next prime is 243828921601. The reversal of 243828921600 is 6129828342.

243828921600 is a `hidden beast` number, since 2 + 4 + 38 + 2 + 8 + 9 + 2 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (243828921599) and next prime (243828921601).

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 (243828921601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 51319225 + ... + 51323975.

It is an arithmetic number, because the mean of its divisors is an integer number (1305986352).

Almost surely, 2^243828921600 is an apocalyptic number.

243828921600 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 243828921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493662841056).

243828921600 is an abundant number, since it is smaller than the sum of its proper divisors (743496760512).

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

243828921600 is an equidigital number, since it uses as much as digits as its factorization.

243828921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 243828921600 in words is "two hundred forty-three billion, eight hundred twenty-eight million, nine hundred twenty-one thousand, six hundred".