11448000 has 224 divisors, whose sum is σ = 42793920. Its totient is φ = 2995200.

The previous prime is 11447993. The next prime is 11448001. The reversal of 11448000 is 84411.

11448000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11448001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215974 + ... + 216026.

Almost surely, 2^11448000 is an apocalyptic number.

11448000 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 11448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

11448000 is an abundant number, since it is smaller than the sum of its proper divisors (31345920).

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

11448000 is an equidigital number, since it uses as much as digits as its factorization.

11448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11448000 is about 3383.4893231692. The cubic root of 11448000 is about 225.3771452533.

The spelling of 11448000 in words is "eleven million, four hundred forty-eight thousand".