11111005105009 has 8 divisors (see below), whose sum is σ = 11141863319552. Its totient is φ = 11080170843840.

The previous prime is 11111005105007. The next prime is 11111005105073. The reversal of 11111005105009 is 90050150011111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11111005105009 - 2¹ = 11111005105007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11111005105007) 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 in 7 ways as a sum of consecutive naturals, for example, 5059137 + ... + 6914974.

It is an arithmetic number, because the mean of its divisors is an integer number (1392732914944).

Almost surely, 2^{11111005105009} is an apocalyptic number.

It is an amenable number.

11111005105009 is a deficient number, since it is larger than the sum of its proper divisors (30858214543).

11111005105009 is a wasteful number, since it uses less digits than its factorization.

11111005105009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11976687.

The product of its (nonzero) digits is 225, while the sum is 25.

The spelling of 11111005105009 in words is "eleven trillion, one hundred eleven billion, five million, one hundred five thousand, nine".