13828328608949 has 2 divisors, whose sum is σ = 13828328608950. Its totient is φ = 13828328608948.

The previous prime is 13828328608909. The next prime is 13828328608981. The reversal of 13828328608949 is 94980682382831.

13828328608949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12394518742225 + 1433809866724 = 3520585^2 + 1197418^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13828328608949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13828328608909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914164304474 + 6914164304475.

It is an arithmetic number, because the mean of its divisors is an integer number (6914164304475).

Almost surely, 2^{13828328608949} is an apocalyptic number.

It is an amenable number.

13828328608949 is a deficient number, since it is larger than the sum of its proper divisors (1).

13828328608949 is an equidigital number, since it uses as much as digits as its factorization.

13828328608949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 286654464, while the sum is 71.

The spelling of 13828328608949 in words is "thirteen trillion, eight hundred twenty-eight billion, three hundred twenty-eight million, six hundred eight thousand, nine hundred forty-nine".