11166101106156 has 60 divisors (see below), whose sum is σ = 30132019579200. Its totient is φ = 3601968095520.

The previous prime is 11166101106137. The next prime is 11166101106211. The reversal of 11166101106156 is 65160110166111.

It is a happy number.

11166101106156 is a `hidden beast` number, since 1 + 1 + 16 + 6 + 10 + 1 + 10 + 615 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11166101106156.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 555849231 + ... + 555869318.

It is an arithmetic number, because the mean of its divisors is an integer number (502200326320).

Almost surely, 2^{11166101106156} is an apocalyptic number.

It is an amenable number.

11166101106156 is an abundant number, since it is smaller than the sum of its proper divisors (18965918473044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11166101106156 is a wasteful number, since it uses less digits than its factorization.

11166101106156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111718596 (or 1111718585 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 11166101106156 in words is "eleven trillion, one hundred sixty-six billion, one hundred one million, one hundred six thousand, one hundred fifty-six".