11324448000 has 720 divisors, whose sum is σ = 44794333584. Its totient is φ = 2831155200.

The previous prime is 11324447999. The next prime is 11324448007. The reversal of 11324448000 is 84442311.

It can be written as a sum of positive squares in 8 ways, for example, as 183223296 + 11141224704 = 13536^2 + 105552^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324448007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44063872 + ... + 44064128.

Almost surely, 2^11324448000 is an apocalyptic number.

11324448000 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 11324448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22397166792).

11324448000 is an abundant number, since it is smaller than the sum of its proper divisors (33469885584).

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

11324448000 is an equidigital number, since it uses as much as digits as its factorization.

11324448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 11324448000 in words is "eleven billion, three hundred twenty-four million, four hundred forty-eight thousand".