8008448401 has 2 divisors, whose sum is σ = 8008448402. Its totient is φ = 8008448400.

The previous prime is 8008448381. The next prime is 8008448431. The reversal of 8008448401 is 1048448008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7279502400 + 728946001 = 85320^2 + 26999^2 .

It is a cyclic number.

It is not a de Polignac number, because 8008448401 - 2¹⁵ = 8008415633 is a prime.

It is not a weakly prime, because it can be changed into another prime (8008448431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4004224200 + 4004224201.

It is an arithmetic number, because the mean of its divisors is an integer number (4004224201).

Almost surely, 2^8008448401 is an apocalyptic number.

It is an amenable number.

8008448401 is a deficient number, since it is larger than the sum of its proper divisors (1).

8008448401 is an equidigital number, since it uses as much as digits as its factorization.

8008448401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 8008448401 is about 89489.9346351309. The cubic root of 8008448401 is about 2000.7037857304.

The spelling of 8008448401 in words is "eight billion, eight million, four hundred forty-eight thousand, four hundred one".