11385444 has 108 divisors (see below), whose sum is σ = 33318096. Its totient is φ = 3015936.

The previous prime is 11385433. The next prime is 11385449. The reversal of 11385444 is 44458311.

Its product of digits (7680) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11385449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169899 + ... + 169965.

Almost surely, 2^11385444 is an apocalyptic number.

11385444 is a gapful number since it is divisible by the number (14) 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 11385444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16659048).

11385444 is an abundant number, since it is smaller than the sum of its proper divisors (21932652).

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

11385444 is a wasteful number, since it uses less digits than its factorization.

11385444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 11385444 is about 3374.2323571444. The cubic root of 11385444 is about 224.9658812463.

The spelling of 11385444 in words is "eleven million, three hundred eighty-five thousand, four hundred forty-four".