11001111084617 has 2 divisors, whose sum is σ = 11001111084618. Its totient is φ = 11001111084616.

The previous prime is 11001111084611. The next prime is 11001111084619. The reversal of 11001111084617 is 71648011110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9868544747776 + 1132566336841 = 3141424^2 + 1064221^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001111084617 - 2¹⁸ = 11001110822473 is a prime.

It is a super-2 number, since 2×11001111084617² (a number of 27 digits) contains 22 as substring.

Together with 11001111084619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11001111084611) 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, 5500555542308 + 5500555542309.

It is an arithmetic number, because the mean of its divisors is an integer number (5500555542309).

Almost surely, 2^{11001111084617} is an apocalyptic number.

It is an amenable number.

11001111084617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001111084617 is an equidigital number, since it uses as much as digits as its factorization.

11001111084617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 32.

Adding to 11001111084617 its reverse (71648011110011), we get a palindrome (82649122194628).

The spelling of 11001111084617 in words is "eleven trillion, one billion, one hundred eleven million, eighty-four thousand, six hundred seventeen".