4332222145305 has 12 divisors (see below), whose sum is σ = 7509185051940. Its totient is φ = 2310518477472.

The previous prime is 4332222145253. The next prime is 4332222145313. The reversal of 4332222145305 is 5035412222334.

4332222145305 is a `hidden beast` number, since 4 + 3 + 322 + 2 + 21 + 4 + 5 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2343250669824 + 1988971475481 = 1530768^2 + 1410309^2 .

It is not a de Polignac number, because 4332222145305 - 2⁹ = 4332222144793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4332222145305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48135801570 + ... + 48135801659.

It is an arithmetic number, because the mean of its divisors is an integer number (625765420995).

Almost surely, 2^{4332222145305} is an apocalyptic number.

4332222145305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4332222145305 is a deficient number, since it is larger than the sum of its proper divisors (3176962906635).

4332222145305 is a wasteful number, since it uses less digits than its factorization.

4332222145305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96271603240 (or 96271603237 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 4332222145305 its reverse (5035412222334), we get a palindrome (9367634367639).

The spelling of 4332222145305 in words is "four trillion, three hundred thirty-two billion, two hundred twenty-two million, one hundred forty-five thousand, three hundred five".