11085484032 has 702 divisors, whose sum is σ = 41624843598. Its totient is φ = 2824077312.

The previous prime is 11085484027. The next prime is 11085484037. The reversal of 11085484032 is 23048458011.

11085484032 is a `hidden beast` number, since 1 + 108 + 548 + 4 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11085484027) and next prime (11085484037).

It can be written as a sum of positive squares in only one way, i.e., 10433396736 + 652087296 = 102144^2 + 25536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11085484037) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 583446519 + ... + 583446537.

It is an arithmetic number, because the mean of its divisors is an integer number (59294649).

Almost surely, 2^11085484032 is an apocalyptic number.

11085484032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11085484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812421799).

11085484032 is an abundant number, since it is smaller than the sum of its proper divisors (30539359566).

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

11085484032 is a wasteful number, since it uses less digits than its factorization.

11085484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11085484032 in words is "eleven billion, eighty-five million, four hundred eighty-four thousand, thirty-two".