8641383382129 has 45 divisors (see below), whose sum is σ = 9709845943067. Its totient is φ = 7688924952768.

The previous prime is 8641383382123. The next prime is 8641383382153. The reversal of 8641383382129 is 9212833831468.

It is a happy number.

The square root of 8641383382129 is 2939623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6727720626225 + 1913662755904 = 2593785^2 + 1383352^2 .

It is not a de Polignac number, because 8641383382129 - 2⁵ = 8641383382097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8641383382123) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18040466112 + ... + 18040466590.

Almost surely, 2^{8641383382129} is an apocalyptic number.

8641383382129 is the 2939623-rd square number.

8641383382129 is the 1469812-nd centered octagonal number.

It is an amenable number.

8641383382129 is a deficient number, since it is larger than the sum of its proper divisors (1068462560938).

8641383382129 is an frugal number, since it uses more digits than its factorization.

8641383382129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 515 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The spelling of 8641383382129 in words is "eight trillion, six hundred forty-one billion, three hundred eighty-three million, three hundred eighty-two thousand, one hundred twenty-nine".