18446400013 has 2 divisors, whose sum is σ = 18446400014. Its totient is φ = 18446400012.

The previous prime is 18446399833. The next prime is 18446400023. The reversal of 18446400013 is 31000464481.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17361488169 + 1084911844 = 131763^2 + 32938^2 .

It is a cyclic number.

It is not a de Polignac number, because 18446400013 - 2¹⁷ = 18446268941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18446400023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9223200006 + 9223200007.

It is an arithmetic number, because the mean of its divisors is an integer number (9223200007).

Almost surely, 2^18446400013 is an apocalyptic number.

It is an amenable number.

18446400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

18446400013 is an equidigital number, since it uses as much as digits as its factorization.

18446400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 18446400013 its reverse (31000464481), we get a palindrome (49446864494).

The spelling of 18446400013 in words is "eighteen billion, four hundred forty-six million, four hundred thousand, thirteen".