11224844400 has 960 divisors, whose sum is σ = 47825510400. Its totient is φ = 2182656000.

The previous prime is 11224844359. The next prime is 11224844417. The reversal of 11224844400 is 444842211.

It is a super-2 number, since 2×11224844400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158096365 + ... + 158096435.

It is an arithmetic number, because the mean of its divisors is an integer number (49818240).

Almost surely, 2^11224844400 is an apocalyptic number.

11224844400 is a gapful number since it is divisible by the number (10) 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 11224844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23912755200).

11224844400 is an abundant number, since it is smaller than the sum of its proper divisors (36600666000).

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

11224844400 is a wasteful number, since it uses less digits than its factorization.

11224844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 11224844400 in words is "eleven billion, two hundred twenty-four million, eight hundred forty-four thousand, four hundred".