10011444224 has 88 divisors (see below), whose sum is σ = 20300672160. Its totient is φ = 4934467584.

The previous prime is 10011444221. The next prime is 10011444241. The reversal of 10011444224 is 42244411001.

It is a self number, because there is not a number n which added to its sum of digits gives 10011444224.

It is not an unprimeable number, because it can be changed into a prime (10011444221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35375987 + ... + 35376269.

Almost surely, 2^10011444224 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 10011444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150336080).

10011444224 is an abundant number, since it is smaller than the sum of its proper divisors (10289227936).

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

10011444224 is a wasteful number, since it uses less digits than its factorization.

10011444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10011444224 its reverse (42244411001), we get a palindrome (52255855225).

The spelling of 10011444224 in words is "ten billion, eleven million, four hundred forty-four thousand, two hundred twenty-four".