11242066745664 has 224 divisors, whose sum is σ = 35114188953600. Its totient is φ = 3516946490880.

The previous prime is 11242066745653. The next prime is 11242066745669. The reversal of 11242066745664 is 46654766024211.

11242066745664 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 0 + 6 + 6 + 74 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11242066745664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242066745669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1912969 + ... + 5113079.

Almost surely, 2^{11242066745664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242066745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557094476800).

11242066745664 is an abundant number, since it is smaller than the sum of its proper divisors (23872122207936).

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

11242066745664 is a wasteful number, since it uses less digits than its factorization.

11242066745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200258 (or 3200242 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 11242066745664 in words is "eleven trillion, two hundred forty-two billion, sixty-six million, seven hundred forty-five thousand, six hundred sixty-four".