8647041008401 has 2 divisors, whose sum is σ = 8647041008402. Its totient is φ = 8647041008400.

The previous prime is 8647041008303. The next prime is 8647041008539. The reversal of 8647041008401 is 1048001407468.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7011586243600 + 1635454764801 = 2647940^2 + 1278849^2 .

It is a cyclic number.

It is not a de Polignac number, because 8647041008401 - 2¹³ = 8647041000209 is a prime.

It is not a weakly prime, because it can be changed into another prime (8647041000401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4323520504200 + 4323520504201.

It is an arithmetic number, because the mean of its divisors is an integer number (4323520504201).

Almost surely, 2^{8647041008401} is an apocalyptic number.

It is an amenable number.

8647041008401 is a deficient number, since it is larger than the sum of its proper divisors (1).

8647041008401 is an equidigital number, since it uses as much as digits as its factorization.

8647041008401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 8647041008401 in words is "eight trillion, six hundred forty-seven billion, forty-one million, eight thousand, four hundred one".