243582420144 has 320 divisors, whose sum is σ = 782954332160. Its totient is φ = 63679841280.

The previous prime is 243582420121. The next prime is 243582420157. The reversal of 243582420144 is 441024285342.

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 63 ways as a sum of consecutive naturals, for example, 143875362 + ... + 143877054.

It is an arithmetic number, because the mean of its divisors is an integer number (2446732288).

Almost surely, 2^243582420144 is an apocalyptic number.

243582420144 is a gapful number since it is divisible by the number (24) 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 243582420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391477166080).

243582420144 is an abundant number, since it is smaller than the sum of its proper divisors (539371912016).

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

243582420144 is a wasteful number, since it uses less digits than its factorization.

243582420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 243582420144 in words is "two hundred forty-three billion, five hundred eighty-two million, four hundred twenty thousand, one hundred forty-four".