8442338310801 has 12 divisors (see below), whose sum is σ = 12232957093812. Its totient is φ = 5610470883936.

The previous prime is 8442338310799. The next prime is 8442338310829. The reversal of 8442338310801 is 1080138332448.

It can be written as a sum of positive squares in 2 ways, for example, as 5003542659600 + 3438795651201 = 2236860^2 + 1854399^2 .

It is not a de Polignac number, because 8442338310801 - 2¹ = 8442338310799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8442338310841) 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 11 ways as a sum of consecutive naturals, for example, 1479551706 + ... + 1479557411.

It is an arithmetic number, because the mean of its divisors is an integer number (1019413091151).

Almost surely, 2^{8442338310801} is an apocalyptic number.

It is an amenable number.

8442338310801 is a deficient number, since it is larger than the sum of its proper divisors (3790618783011).

8442338310801 is a wasteful number, since it uses less digits than its factorization.

8442338310801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959109440 (or 2959109437 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 8442338310801 in words is "eight trillion, four hundred forty-two billion, three hundred thirty-eight million, three hundred ten thousand, eight hundred one".