243105346000 has 320 divisors, whose sum is σ = 656327992320. Its totient is φ = 86349120000.

The previous prime is 243105345883. The next prime is 243105346027. The reversal of 243105346000 is 643501342.

It is a self number, because there is not a number n which added to its sum of digits gives 243105346000.

It is a congruent number.

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, 193093371 + ... + 193094629.

It is an arithmetic number, because the mean of its divisors is an integer number (2051024976).

Almost surely, 2^243105346000 is an apocalyptic number.

243105346000 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 243105346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328163996160).

243105346000 is an abundant number, since it is smaller than the sum of its proper divisors (413222646320).

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

243105346000 is a wasteful number, since it uses less digits than its factorization.

243105346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 243105346000 its reverse (643501342), we get a palindrome (243748847342).

The spelling of 243105346000 in words is "two hundred forty-three billion, one hundred five million, three hundred forty-six thousand".