6344416144436 has 12 divisors (see below), whose sum is σ = 11103145881828. Its totient is φ = 3172088749632.

The previous prime is 6344416144403. The next prime is 6344416144481.

6344416144436 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 5439623290000 + 904792854436 = 2332300^2 + 951206^2 .

It is a super-2 number, since 2×6344416144436² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29710961 + ... + 29923736.

It is an arithmetic number, because the mean of its divisors is an integer number (925262156819).

Almost surely, 2^{6344416144436} is an apocalyptic number.

It is an amenable number.

6344416144436 is a deficient number, since it is larger than the sum of its proper divisors (4758729737392).

6344416144436 is a wasteful number, since it uses less digits than its factorization.

6344416144436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59661298 (or 59661296 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 50.

The spelling of 6344416144436 in words is "six trillion, three hundred forty-four billion, four hundred sixteen million, one hundred forty-four thousand, four hundred thirty-six".