8224271104401 has 135 divisors (see below), whose sum is σ = 13659019872953. Its totient is φ = 4764905394480.

The previous prime is 8224271104369. The next prime is 8224271104403. The reversal of 8224271104401 is 1044011724228.

It is a happy number.

The square root of 8224271104401 is 2867799.

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

8224271104401 is a `hidden beast` number, since 8 + 2 + 242 + 7 + 1 + 1 + 0 + 4 + 401 = 666.

It is not a de Polignac number, because 8224271104401 - 2⁵ = 8224271104369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8224271104403) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 174984491560 + ... + 174984491606.

Almost surely, 2^{8224271104401} is an apocalyptic number.

8224271104401 is the 2867799-th square number.

8224271104401 is the 1433900-th centered octagonal number.

It is an amenable number.

8224271104401 is a deficient number, since it is larger than the sum of its proper divisors (5434748768552).

8224271104401 is an frugal number, since it uses more digits than its factorization.

8224271104401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Multiplying 8224271104401 by its sum of digits (36), we get a square (296073759758436 = 17206794²).

Adding to 8224271104401 its reverse (1044011724228), we get a palindrome (9268282828629).

The spelling of 8224271104401 in words is "eight trillion, two hundred twenty-four billion, two hundred seventy-one million, one hundred four thousand, four hundred one".