18668448 has 192 divisors, whose sum is σ = 60963840. Its totient is φ = 5529600.

The previous prime is 18668437. The next prime is 18668449. The reversal of 18668448 is 84486681.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18668449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455308 + ... + 455348.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^18668448 is an apocalyptic number.

18668448 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 18668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

18668448 is an abundant number, since it is smaller than the sum of its proper divisors (42295392).

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

18668448 is a wasteful number, since it uses less digits than its factorization.

18668448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 18668448 is about 4320.6999432962. The cubic root of 18668448 is about 265.2789183857.

The spelling of 18668448 in words is "eighteen million, six hundred sixty-eight thousand, four hundred forty-eight".