11004585108 has 96 divisors (see below), whose sum is σ = 29042012160. Its totient is φ = 3212576640.

The previous prime is 11004585101. The next prime is 11004585149. The reversal of 11004585108 is 80158540011.

11004585108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11004585108² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004585101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1861285 + ... + 1867187.

It is an arithmetic number, because the mean of its divisors is an integer number (302520960).

Almost surely, 2^11004585108 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 11004585108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14521006080).

11004585108 is an abundant number, since it is smaller than the sum of its proper divisors (18037427052).

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

11004585108 is a wasteful number, since it uses less digits than its factorization.

11004585108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6437 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

The spelling of 11004585108 in words is "eleven billion, four million, five hundred eighty-five thousand, one hundred eight".