11446416 has 60 divisors (see below), whose sum is σ = 33150780. Its totient is φ = 3682560.

The previous prime is 11446411. The next prime is 11446451. The reversal of 11446416 is 61464411.

11446416 is a `hidden beast` number, since 1 + 14 + 4 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 6780816 = 2160^2 + 2604^2 .

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 11446416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2806 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (552513).

Almost surely, 2^11446416 is an apocalyptic number.

11446416 is a gapful number since it is divisible by the number (16) 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 11446416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575390).

11446416 is an abundant number, since it is smaller than the sum of its proper divisors (21704364).

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

11446416 is a wasteful number, since it uses less digits than its factorization.

11446416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2775 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11446416 is about 3383.2552371939. The cubic root of 11446416 is about 225.3667500208.

The spelling of 11446416 in words is "eleven million, four hundred forty-six thousand, four hundred sixteen".