8128309338361 has 27 divisors (see below), whose sum is σ = 8944128293581. Its totient is φ = 7385097152384.

The previous prime is 8128309338341. The next prime is 8128309338379. The reversal of 8128309338361 is 1638339038218.

The square root of 8128309338361 is 2851019.

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

It can be written as a sum of positive squares in 4 ways, for example, as 803470213225 + 7324839125136 = 896365^2 + 2706444^2 .

It is not a de Polignac number, because 8128309338361 - 2³³ = 8119719403769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8128309338341) 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 in 26 ways as a sum of consecutive naturals, for example, 1405549476 + ... + 1405555258.

Almost surely, 2^{8128309338361} is an apocalyptic number.

8128309338361 is the 2851019-th square number.

8128309338361 is the 1425510-th centered octagonal number.

It is an amenable number.

8128309338361 is a deficient number, since it is larger than the sum of its proper divisors (815818955220).

8128309338361 is an frugal number, since it uses more digits than its factorization.

8128309338361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11658 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 8128309338361 in words is "eight trillion, one hundred twenty-eight billion, three hundred nine million, three hundred thirty-eight thousand, three hundred sixty-one".