11132993168 has 60 divisors (see below), whose sum is σ = 23927335740. Its totient is φ = 5013930240.

The previous prime is 11132993143. The next prime is 11132993173. The reversal of 11132993168 is 86139923111.

It is a Cunningham number, because it is equal to 105513²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 8841264784 + 2291728384 = 94028^2 + 47872^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184646 + ... + 237402.

It is an arithmetic number, because the mean of its divisors is an integer number (398788929).

Almost surely, 2^11132993168 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 11132993168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963667870).

11132993168 is an abundant number, since it is smaller than the sum of its proper divisors (12794342572).

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

11132993168 is a wasteful number, since it uses less digits than its factorization.

11132993168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52896 (or 52879 counting only the distinct ones).

The product of its digits is 69984, while the sum is 44.

The spelling of 11132993168 in words is "eleven billion, one hundred thirty-two million, nine hundred ninety-three thousand, one hundred sixty-eight".