337446144000013 has 2 divisors, whose sum is σ = 337446144000014. Its totient is φ = 337446144000012.

The previous prime is 337446143999981. The next prime is 337446144000019. The reversal of 337446144000013 is 310000441644733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215239796128809 + 122206347871204 = 14671053^2 + 11054698^2 .

It is a cyclic number.

It is not a de Polignac number, because 337446144000013 - 2⁵ = 337446143999981 is a prime.

It is a super-2 number, since 2×337446144000013² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 337446144000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (337446144000019) by changing a digit.

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 as a sum of consecutive naturals, namely, 168723072000006 + 168723072000007.

It is an arithmetic number, because the mean of its divisors is an integer number (168723072000007).

Almost surely, 2^{337446144000013} is an apocalyptic number.

It is an amenable number.

337446144000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

337446144000013 is an equidigital number, since it uses as much as digits as its factorization.

337446144000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 40.

Adding to 337446144000013 its reverse (310000441644733), we get a palindrome (647446585644746).

The spelling of 337446144000013 in words is "three hundred thirty-seven trillion, four hundred forty-six billion, one hundred forty-four million, thirteen", and thus it is an aban number.