11448216 has 112 divisors (see below), whose sum is σ = 34888560. Its totient is φ = 3499200.

The previous prime is 11448211. The next prime is 11448263. The reversal of 11448216 is 61284411.

It is a happy number.

11448216 is a `hidden beast` number, since 1 + 1 + 448 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11448216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11448211) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75741 + ... + 75891.

It is an arithmetic number, because the mean of its divisors is an integer number (311505).

Almost surely, 2^11448216 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 11448216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444280).

11448216 is an abundant number, since it is smaller than the sum of its proper divisors (23440344).

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

11448216 is a wasteful number, since it uses less digits than its factorization.

11448216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11448216 is about 3383.5212427292. The cubic root of 11448216 is about 225.3785627107.

It can be divided in two parts, 11448 and 216, that added together give a square (11664 = 108²).

The spelling of 11448216 in words is "eleven million, four hundred forty-eight thousand, two hundred sixteen".