1001116368649 has 2 divisors, whose sum is σ = 1001116368650. Its totient is φ = 1001116368648.

The previous prime is 1001116368563. The next prime is 1001116368653. The reversal of 1001116368649 is 9468636111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 630531283600 + 370585085049 = 794060^2 + 608757^2 .

It is an emirp because it is prime and its reverse (9468636111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001116368649 - 2⁹ = 1001116368137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001116368599 and 1001116368608.

It is not a weakly prime, because it can be changed into another prime (1001116368949) 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, 500558184324 + 500558184325.

It is an arithmetic number, because the mean of its divisors is an integer number (500558184325).

Almost surely, 2^{1001116368649} is an apocalyptic number.

It is an amenable number.

1001116368649 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001116368649 is an equidigital number, since it uses as much as digits as its factorization.

1001116368649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 1001116368649 in words is "one trillion, one billion, one hundred sixteen million, three hundred sixty-eight thousand, six hundred forty-nine".