11482016 has 48 divisors (see below), whose sum is σ = 27828864. Its totient is φ = 4541184.

The previous prime is 11482013. The next prime is 11482027. The reversal of 11482016 is 61028411.

11482016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11481982 and 11482000.

It is not an unprimeable number, because it can be changed into a prime (11482013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (579768).

Almost surely, 2^11482016 is an apocalyptic number.

11482016 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 11482016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914432).

11482016 is an abundant number, since it is smaller than the sum of its proper divisors (16346848).

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

11482016 is a wasteful number, since it uses less digits than its factorization.

11482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11482016 is about 3388.5123579530. The cubic root of 11482016 is about 225.6001492211.

The spelling of 11482016 in words is "eleven million, four hundred eighty-two thousand, sixteen".