243225147141100 has 144 divisors (see below), whose sum is σ = 543008463984000. Its totient is φ = 94531559915520.

The previous prime is 243225147141083. The next prime is 243225147141107. The reversal of 243225147141100 is 1141741522342.

It is a self number, because there is not a number n which added to its sum of digits gives 243225147141100.

It is not an unprimeable number, because it can be changed into a prime (243225147141107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258468642 + ... + 259407958.

It is an arithmetic number, because the mean of its divisors is an integer number (3770892111000).

Almost surely, 2^{243225147141100} is an apocalyptic number.

243225147141100 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 243225147141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271504231992000).

243225147141100 is an abundant number, since it is smaller than the sum of its proper divisors (299783316842900).

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

243225147141100 is a wasteful number, since it uses less digits than its factorization.

243225147141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939932 (or 939925 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 243225147141100 its reverse (1141741522342), we get a palindrome (244366888663442).

The spelling of 243225147141100 in words is "two hundred forty-three trillion, two hundred twenty-five billion, one hundred forty-seven million, one hundred forty-one thousand, one hundred".