8004228641 has 2 divisors, whose sum is σ = 8004228642. Its totient is φ = 8004228640.

The previous prime is 8004228623. The next prime is 8004228653. The reversal of 8004228641 is 1468224008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4616523025 + 3387705616 = 67945^2 + 58204^2 .

It is a cyclic number.

It is not a de Polignac number, because 8004228641 - 2⁶ = 8004228577 is a prime.

It is a super-2 number, since 2×8004228641² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8004228341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002114320 + 4002114321.

It is an arithmetic number, because the mean of its divisors is an integer number (4002114321).

Almost surely, 2^8004228641 is an apocalyptic number.

It is an amenable number.

8004228641 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004228641 is an equidigital number, since it uses as much as digits as its factorization.

8004228641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 8004228641 is about 89466.3547988852. The cubic root of 8004228641 is about 2000.3523246800.

The spelling of 8004228641 in words is "eight billion, four million, two hundred twenty-eight thousand, six hundred forty-one".