14985648 has 100 divisors (see below), whose sum is σ = 44891968. Its totient is φ = 4821120.

The previous prime is 14985643. The next prime is 14985667. The reversal of 14985648 is 84658941.

It is not an unprimeable number, because it can be changed into a prime (14985643) 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 19 ways as a sum of consecutive naturals, for example, 39990 + ... + 40362.

Almost surely, 2^14985648 is an apocalyptic number.

14985648 is a gapful number since it is divisible by the number (18) 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 14985648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445984).

14985648 is an abundant number, since it is smaller than the sum of its proper divisors (29906320).

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

14985648 is a wasteful number, since it uses less digits than its factorization.

14985648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 14985648 is about 3871.1300675643. The cubic root of 14985648 is about 246.5425266100.

The spelling of 14985648 in words is "fourteen million, nine hundred eighty-five thousand, six hundred forty-eight".