11004608484 has 120 divisors (see below), whose sum is σ = 29164988160. Its totient is φ = 3617892864.

The previous prime is 11004608471. The next prime is 11004608491. The reversal of 11004608484 is 48480640011.

11004608484 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 4 + 608 + 48 + 4 = 666.

It is a super-2 number, since 2×11004608484² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15305077 + ... + 15305795.

It is an arithmetic number, because the mean of its divisors is an integer number (243041568).

Almost surely, 2^11004608484 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 11004608484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582494080).

11004608484 is an abundant number, since it is smaller than the sum of its proper divisors (18160379676).

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

11004608484 is a wasteful number, since it uses less digits than its factorization.

11004608484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11004608484 in words is "eleven billion, four million, six hundred eight thousand, four hundred eighty-four".