11144425600 has 384 divisors, whose sum is σ = 35454873600. Its totient is φ = 3359232000.

The previous prime is 11144425583. The next prime is 11144425609. The reversal of 11144425600 is 652444111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11144425609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7637671 + ... + 7639129.

It is an arithmetic number, because the mean of its divisors is an integer number (92330400).

Almost surely, 2^11144425600 is an apocalyptic number.

11144425600 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 11144425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727436800).

11144425600 is an abundant number, since it is smaller than the sum of its proper divisors (24310448000).

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

11144425600 is a wasteful number, since it uses less digits than its factorization.

11144425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 11144425600 its reverse (652444111), we get a palindrome (11796869711).

The spelling of 11144425600 in words is "eleven billion, one hundred forty-four million, four hundred twenty-five thousand, six hundred".