11145888 has 108 divisors (see below), whose sum is σ = 34471710. Its totient is φ = 3414528.

The previous prime is 11145839. The next prime is 11145899. The reversal of 11145888 is 88854111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8363664 + 2782224 = 2892^2 + 1668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48558 + ... + 48786.

Almost surely, 2^11145888 is an apocalyptic number.

11145888 is a gapful number since it is divisible by the number (18) 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 11145888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235855).

11145888 is an abundant number, since it is smaller than the sum of its proper divisors (23325822).

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

11145888 is a wasteful number, since it uses less digits than its factorization.

11145888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 11145888 is about 3338.5457912091. The cubic root of 11145888 is about 223.3768821787.

Adding to 11145888 its reverse (88854111), we get a palindrome (99999999).

The spelling of 11145888 in words is "eleven million, one hundred forty-five thousand, eight hundred eighty-eight".