11514048 has 112 divisors (see below), whose sum is σ = 37551360. Its totient is φ = 3032064.

The previous prime is 11514043. The next prime is 11514077. The reversal of 11514048 is 84041511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11514043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17143 + ... + 17801.

It is an arithmetic number, because the mean of its divisors is an integer number (335280).

Almost surely, 2^11514048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775680).

11514048 is an abundant number, since it is smaller than the sum of its proper divisors (26037312).

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

11514048 is a wasteful number, since it uses less digits than its factorization.

11514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 11514048 is about 3393.2356240026. The cubic root of 11514048 is about 225.8097440749.

Adding to 11514048 its reverse (84041511), we get a palindrome (95555559).

The spelling of 11514048 in words is "eleven million, five hundred fourteen thousand, forty-eight".