11814048 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3483648.

The previous prime is 11814017. The next prime is 11814059. The reversal of 11814048 is 84041811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92961 + ... + 93087.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^11814048 is an apocalyptic number.

11814048 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 11814048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11814048 is an abundant number, since it is smaller than the sum of its proper divisors (25925472).

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

11814048 is a wasteful number, since it uses less digits than its factorization.

11814048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 11814048 is about 3437.1569647021. The cubic root of 11814048 is about 227.7541209000.

Adding to 11814048 its reverse (84041811), we get a palindrome (95855859).

The spelling of 11814048 in words is "eleven million, eight hundred fourteen thousand, forty-eight".