13829308300649 has 2 divisors, whose sum is σ = 13829308300650. Its totient is φ = 13829308300648.

The previous prime is 13829308300603. The next prime is 13829308300657. The reversal of 13829308300649 is 94600380392831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13791062631424 + 38245669225 = 3713632^2 + 195565^2 .

It is a cyclic number.

It is not a de Polignac number, because 13829308300649 - 2³² = 13825013333353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13829308300594 and 13829308300603.

It is not a weakly prime, because it can be changed into another prime (13829308300679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914654150324 + 6914654150325.

It is an arithmetic number, because the mean of its divisors is an integer number (6914654150325).

Almost surely, 2^{13829308300649} is an apocalyptic number.

It is an amenable number.

13829308300649 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829308300649 is an equidigital number, since it uses as much as digits as its factorization.

13829308300649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 13829308300649 in words is "thirteen trillion, eight hundred twenty-nine billion, three hundred eight million, three hundred thousand, six hundred forty-nine".