11011616616011 has 16 divisors (see below), whose sum is σ = 12720776699520. Its totient is φ = 9420610558080.

The previous prime is 11011616615981. The next prime is 11011616616019. The reversal of 11011616616011 is 11061661611011.

It is not a de Polignac number, because 11011616616011 - 2⁶ = 11011616615947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011616616019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1799621 + ... + 5026118.

It is an arithmetic number, because the mean of its divisors is an integer number (795048543720).

Almost surely, 2^{11011616616011} is an apocalyptic number.

11011616616011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011616616011 is a deficient number, since it is larger than the sum of its proper divisors (1709160083509).

11011616616011 is a wasteful number, since it uses less digits than its factorization.

11011616616011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834394.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 11011616616011 in words is "eleven trillion, eleven billion, six hundred sixteen million, six hundred sixteen thousand, eleven".