8268920078329 has 27 divisors (see below), whose sum is σ = 8477731148943. Its totient is φ = 8065223113728.

The previous prime is 8268920078261. The next prime is 8268920078339. The reversal of 8268920078329 is 9238700298628.

The square root of 8268920078329 is 2875573.

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., 8140721708025 + 128198370304 = 2853195^2 + 358048^2 .

It is not a de Polignac number, because 8268920078329 - 2¹⁹ = 8268919554041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8268920078339) 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, 32174786169 + ... + 32174786425.

Almost surely, 2^{8268920078329} is an apocalyptic number.

8268920078329 is the 2875573-rd square number.

8268920078329 is the 1437787-th centered octagonal number.

It is an amenable number.

8268920078329 is a deficient number, since it is larger than the sum of its proper divisors (208811070614).

8268920078329 is an frugal number, since it uses more digits than its factorization.

8268920078329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 8268920078329 by its sum of digits (64), we get a square (529210885013056 = 23004584²).

The spelling of 8268920078329 in words is "eight trillion, two hundred sixty-eight billion, nine hundred twenty million, seventy-eight thousand, three hundred twenty-nine".