11125344000 has 432 divisors, whose sum is σ = 39352281696. Its totient is φ = 2785280000.

The previous prime is 11125343993. The next prime is 11125344011. The reversal of 11125344000 is 44352111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27743800 + ... + 27744200.

Almost surely, 2^11125344000 is an apocalyptic number.

11125344000 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 11125344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676140848).

11125344000 is an abundant number, since it is smaller than the sum of its proper divisors (28226937696).

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

11125344000 is an equidigital number, since it uses as much as digits as its factorization.

11125344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11125344000 its reverse (44352111), we get a palindrome (11169696111).

The spelling of 11125344000 in words is "eleven billion, one hundred twenty-five million, three hundred forty-four thousand".