86606450457217 has 2 divisors, whose sum is σ = 86606450457218. Its totient is φ = 86606450457216.

The previous prime is 86606450457143. The next prime is 86606450457221. The reversal of 86606450457217 is 71275405460668.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80569006848576 + 6037443608641 = 8976024^2 + 2457121^2 .

It is a cyclic number.

It is not a de Polignac number, because 86606450457217 - 2³¹ = 86604302973569 is a prime.

It is not a weakly prime, because it can be changed into another prime (86606450452217) 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, 43303225228608 + 43303225228609.

It is an arithmetic number, because the mean of its divisors is an integer number (43303225228609).

Almost surely, 2^{86606450457217} is an apocalyptic number.

It is an amenable number.

86606450457217 is a deficient number, since it is larger than the sum of its proper divisors (1).

86606450457217 is an equidigital number, since it uses as much as digits as its factorization.

86606450457217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 86606450457217 in words is "eighty-six trillion, six hundred six billion, four hundred fifty million, four hundred fifty-seven thousand, two hundred seventeen".