11011122162936 has 512 divisors, whose sum is σ = 37393191475200. Its totient is φ = 2930613903360.

The previous prime is 11011122162893. The next prime is 11011122162947. The reversal of 11011122162936 is 63926122111011.

11011122162936 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 1 + 2 + 21 + 629 + 3 + 6 = 666.

It is a super-2 number, since 2×11011122162936² (a number of 27 digits) contains 22 as substring.

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 11011122162936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1336783810 + ... + 1336792046.

It is an arithmetic number, because the mean of its divisors is an integer number (73033577100).

Almost surely, 2^{11011122162936} 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 11011122162936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18696595737600).

11011122162936 is an abundant number, since it is smaller than the sum of its proper divisors (26382069312264).

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

11011122162936 is a wasteful number, since it uses less digits than its factorization.

11011122162936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Adding to 11011122162936 its reverse (63926122111011), we get a palindrome (74937244273947).

The spelling of 11011122162936 in words is "eleven trillion, eleven billion, one hundred twenty-two million, one hundred sixty-two thousand, nine hundred thirty-six".