8067866479201 has 9 divisors (see below), whose sum is σ = 8080152829203. Its totient is φ = 8055598795920.

The previous prime is 8067866479199. The next prime is 8067866479243. The reversal of 8067866479201 is 1029746687608.

The square root of 8067866479201 is 2840399.

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., 7101420192801 + 966446286400 = 2664849^2 + 983080^2 .

It is not a de Polignac number, because 8067866479201 - 2¹ = 8067866479199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8067866479271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2297881036 + ... + 2297884546.

Almost surely, 2^{8067866479201} is an apocalyptic number.

8067866479201 is the 2840399-th square number.

8067866479201 is the 1420200-th centered octagonal number.

It is an amenable number.

8067866479201 is a deficient number, since it is larger than the sum of its proper divisors (12286350002).

8067866479201 is an frugal number, since it uses more digits than its factorization.

8067866479201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 64.

Multiplying 8067866479201 by its sum of digits (64), we get a square (516343454668864 = 22723192²).

The spelling of 8067866479201 in words is "eight trillion, sixty-seven billion, eight hundred sixty-six million, four hundred seventy-nine thousand, two hundred one".