4418228218518 has 192 divisors, whose sum is σ = 10327253594112. Its totient is φ = 1361975186880.

The previous prime is 4418228218487. The next prime is 4418228218519. The reversal of 4418228218518 is 8158128228144.

4418228218518 is a `hidden beast` number, since 4 + 4 + 1 + 82 + 28 + 21 + 8 + 518 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4418228218519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447048405 + ... + 447058287.

It is an arithmetic number, because the mean of its divisors is an integer number (53787779136).

Almost surely, 2^{4418228218518} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4418228218518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163626797056).

4418228218518 is an abundant number, since it is smaller than the sum of its proper divisors (5909025375594).

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

4418228218518 is a wasteful number, since it uses less digits than its factorization.

4418228218518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10276 counting only the distinct ones).

The product of its digits is 2621440, while the sum is 54.

The spelling of 4418228218518 in words is "four trillion, four hundred eighteen billion, two hundred twenty-eight million, two hundred eighteen thousand, five hundred eighteen".