11000304224 has 96 divisors (see below), whose sum is σ = 26825472576. Its totient is φ = 4323870720.

The previous prime is 11000304221. The next prime is 11000304241. The reversal of 11000304224 is 42240300011.

It is a super-3 number, since 3×11000304224³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000304221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445154 + ... + 469214.

It is an arithmetic number, because the mean of its divisors is an integer number (279432006).

Almost surely, 2^11000304224 is an apocalyptic number.

11000304224 is a gapful number since it is divisible by the number (14) 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 11000304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412736288).

11000304224 is an abundant number, since it is smaller than the sum of its proper divisors (15825168352).

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

11000304224 is a wasteful number, since it uses less digits than its factorization.

11000304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24248 (or 24240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 11000304224 its reverse (42240300011), we get a palindrome (53240604235).

The spelling of 11000304224 in words is "eleven billion, three hundred four thousand, two hundred twenty-four".