243322202223342 has 288 divisors, whose sum is σ = 598902339278880. Its totient is φ = 71288580211200.

The previous prime is 243322202223307. The next prime is 243322202223361.

It is a happy number.

243322202223342 is a `hidden beast` number, since 2 + 43 + 32 + 2 + 20 + 2 + 223 + 342 = 666.

243322202223342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243322202223297 and 243322202223306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36540348409 + ... + 36540355067.

It is an arithmetic number, because the mean of its divisors is an integer number (2079522011385).

Almost surely, 2^{243322202223342} is an apocalyptic number.

243322202223342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243322202223342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299451169639440).

243322202223342 is an abundant number, since it is smaller than the sum of its proper divisors (355580137055538).

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

243322202223342 is a wasteful number, since it uses less digits than its factorization.

243322202223342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 24332220 and 2223342, that added together give a palindrome (26555562).

The spelling of 243322202223342 in words is "two hundred forty-three trillion, three hundred twenty-two billion, two hundred two million, two hundred twenty-three thousand, three hundred forty-two".