8516444684417 has 2 divisors, whose sum is σ = 8516444684418. Its totient is φ = 8516444684416.

The previous prime is 8516444684393. The next prime is 8516444684453. The reversal of 8516444684417 is 7144864446158.

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., 7202374508176 + 1314070176241 = 2683724^2 + 1146329^2 .

It is a cyclic number.

It is not a de Polignac number, because 8516444684417 - 2¹⁶ = 8516444618881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8516444684417.

It is not a weakly prime, because it can be changed into another prime (8516444684717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4258222342208 + 4258222342209.

It is an arithmetic number, because the mean of its divisors is an integer number (4258222342209).

Almost surely, 2^{8516444684417} is an apocalyptic number.

It is an amenable number.

8516444684417 is a deficient number, since it is larger than the sum of its proper divisors (1).

8516444684417 is an equidigital number, since it uses as much as digits as its factorization.

8516444684417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 82575360, while the sum is 62.

The spelling of 8516444684417 in words is "eight trillion, five hundred sixteen billion, four hundred forty-four million, six hundred eighty-four thousand, four hundred seventeen".