6445641107249 has 2 divisors, whose sum is σ = 6445641107250. Its totient is φ = 6445641107248.

The previous prime is 6445641107231. The next prime is 6445641107251. The reversal of 6445641107249 is 9427011465446.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3983189698849 + 2462451408400 = 1995793^2 + 1569220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6445641107249 is a prime.

It is a super-3 number, since 3×6445641107249³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 6445641107251, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6445641107249.

It is not a weakly prime, because it can be changed into another prime (6445641107209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3222820553624 + 3222820553625.

It is an arithmetic number, because the mean of its divisors is an integer number (3222820553625).

Almost surely, 2^{6445641107249} is an apocalyptic number.

It is an amenable number.

6445641107249 is a deficient number, since it is larger than the sum of its proper divisors (1).

6445641107249 is an equidigital number, since it uses as much as digits as its factorization.

6445641107249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 6445641107249 in words is "six trillion, four hundred forty-five billion, six hundred forty-one million, one hundred seven thousand, two hundred forty-nine".