11040110646066 has 384 divisors, whose sum is σ = 27298127001600. Its totient is φ = 3206246400000.

The previous prime is 11040110646053. The next prime is 11040110646091. The reversal of 11040110646066 is 66064601104011.

11040110646066 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 1 + 1 + 0 + 646 + 0 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11040110646066.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 19402654630 + ... + 19402655198.

It is an arithmetic number, because the mean of its divisors is an integer number (71088872400).

Almost surely, 2^{11040110646066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040110646066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649063500800).

11040110646066 is an abundant number, since it is smaller than the sum of its proper divisors (16258016355534).

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

11040110646066 is a wasteful number, since it uses less digits than its factorization.

11040110646066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11040110646066 in words is "eleven trillion, forty billion, one hundred ten million, six hundred forty-six thousand, sixty-six".