8628830682001 has 2 divisors, whose sum is σ = 8628830682002. Its totient is φ = 8628830682000.

The previous prime is 8628830681981. The next prime is 8628830682019. The reversal of 8628830682001 is 1002860388268.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7459447977601 + 1169382704400 = 2731199^2 + 1081380^2 .

It is a cyclic number.

It is not a de Polignac number, because 8628830682001 - 2¹⁹ = 8628830157713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8628830682001.

It is not a weakly prime, because it can be changed into another prime (8628830622001) 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 as a sum of consecutive naturals, namely, 4314415341000 + 4314415341001.

It is an arithmetic number, because the mean of its divisors is an integer number (4314415341001).

Almost surely, 2^{8628830682001} is an apocalyptic number.

It is an amenable number.

8628830682001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8628830682001 is an equidigital number, since it uses as much as digits as its factorization.

8628830682001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 8628830682001 in words is "eight trillion, six hundred twenty-eight billion, eight hundred thirty million, six hundred eighty-two thousand, one".