6544414144456 has 32 divisors (see below), whose sum is σ = 12321465076800. Its totient is φ = 3258717687360.

The previous prime is 6544414144381. The next prime is 6544414144481.

It is a happy number.

6544414144456 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 177771 + ... + 3622213.

It is an arithmetic number, because the mean of its divisors is an integer number (385045783650).

Almost surely, 2^{6544414144456} is an apocalyptic number.

It is an amenable number.

6544414144456 is a deficient number, since it is larger than the sum of its proper divisors (5777050932344).

6544414144456 is a wasteful number, since it uses less digits than its factorization.

6544414144456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445429 (or 3445425 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 52.

The spelling of 6544414144456 in words is "six trillion, five hundred forty-four billion, four hundred fourteen million, one hundred forty-four thousand, four hundred fifty-six".