45105636386329 has 2 divisors, whose sum is σ = 45105636386330. Its totient is φ = 45105636386328.

The previous prime is 45105636386311. The next prime is 45105636386449. The reversal of 45105636386329 is 92368363650154.

45105636386329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32469175537929 + 12636460848400 = 5698173^2 + 3554780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45105636386329 is a prime.

It is not a weakly prime, because it can be changed into another prime (45105636386929) 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, 22552818193164 + 22552818193165.

It is an arithmetic number, because the mean of its divisors is an integer number (22552818193165).

Almost surely, 2^{45105636386329} is an apocalyptic number.

It is an amenable number.

45105636386329 is a deficient number, since it is larger than the sum of its proper divisors (1).

45105636386329 is an equidigital number, since it uses as much as digits as its factorization.

45105636386329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 83980800, while the sum is 61.

The spelling of 45105636386329 in words is "forty-five trillion, one hundred five billion, six hundred thirty-six million, three hundred eighty-six thousand, three hundred twenty-nine".