4218334848 has 640 divisors, whose sum is σ = 16421771520. Its totient is φ = 1043103744.

The previous prime is 4218334847. The next prime is 4218334853. The reversal of 4218334848 is 8484338124.

It is a happy number.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (4218334843) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16039165 + ... + 16039427.

It is an arithmetic number, because the mean of its divisors is an integer number (25659018).

Almost surely, 2^4218334848 is an apocalyptic number.

4218334848 is a gapful number since it is divisible by the number (48) 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 4218334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210885760).

4218334848 is an abundant number, since it is smaller than the sum of its proper divisors (12203436672).

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

4218334848 is a wasteful number, since it uses less digits than its factorization.

4218334848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 4218334848 is about 64948.7093636202. The cubic root of 4218334848 is about 1615.7730132448.

The spelling of 4218334848 in words is "four billion, two hundred eighteen million, three hundred thirty-four thousand, eight hundred forty-eight".