18945648 has 60 divisors (see below), whose sum is σ = 53437800. Its totient is φ = 6265728.

The previous prime is 18945643. The next prime is 18945659. The reversal of 18945648 is 84654981.

18945648 is a `hidden beast` number, since 1 + 89 + 4 + 564 + 8 = 666.

It is a super-3 number, since 3×18945648³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18945643) 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, 21015 + ... + 21897.

It is an arithmetic number, because the mean of its divisors is an integer number (890630).

Almost surely, 2^18945648 is an apocalyptic number.

18945648 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 18945648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26718900).

18945648 is an abundant number, since it is smaller than the sum of its proper divisors (34492152).

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

18945648 is a wasteful number, since it uses less digits than its factorization.

18945648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1037 counting only the distinct ones).

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

The square root of 18945648 is about 4352.6598764434. The cubic root of 18945648 is about 266.5854780618.

The spelling of 18945648 in words is "eighteen million, nine hundred forty-five thousand, six hundred forty-eight".