14646016 has 72 divisors (see below), whose sum is σ = 36497664. Its totient is φ = 5698560.

The previous prime is 14646011. The next prime is 14646019. The reversal of 14646016 is 61064641.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14646011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19341 + ... + 20083.

It is an arithmetic number, because the mean of its divisors is an integer number (506912).

Almost surely, 2^14646016 is an apocalyptic number.

14646016 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 14646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832).

14646016 is an abundant number, since it is smaller than the sum of its proper divisors (21851648).

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

14646016 is an equidigital number, since it uses as much as digits as its factorization.

14646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 14646016 is about 3827.0113665888. The cubic root of 14646016 is about 244.6657443739.

The spelling of 14646016 in words is "fourteen million, six hundred forty-six thousand, sixteen".