11616611116617 has 64 divisors (see below), whose sum is σ = 18910176337920. Its totient is φ = 7092392711040.

The previous prime is 11616611116589. The next prime is 11616611116631. The reversal of 11616611116617 is 71661111661611.

11616611116617 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 6 + 6 + 1 + 11 + 16 + 617 = 666.

11616611116617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11616611116617 - 2⁸ = 11616611116361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11616611116217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2002117 + ... + 5219357.

It is an arithmetic number, because the mean of its divisors is an integer number (295471505280).

Almost surely, 2^{11616611116617} is an apocalyptic number.

It is an amenable number.

11616611116617 is a deficient number, since it is larger than the sum of its proper divisors (7293565221303).

11616611116617 is an equidigital number, since it uses as much as digits as its factorization.

11616611116617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217402 (or 3217384 counting only the distinct ones).

The product of its digits is 54432, while the sum is 45.

The spelling of 11616611116617 in words is "eleven trillion, six hundred sixteen billion, six hundred eleven million, one hundred sixteen thousand, six hundred seventeen".