218848125444 has 192 divisors, whose sum is σ = 573312983040. Its totient is φ = 64553448960.

The previous prime is 218848125443. The next prime is 218848125451. The reversal of 218848125444 is 444521848812.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (218848125443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58623402 + ... + 58627134.

It is an arithmetic number, because the mean of its divisors is an integer number (2986005120).

Almost surely, 2^218848125444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218848125444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286656491520).

218848125444 is an abundant number, since it is smaller than the sum of its proper divisors (354464857596).

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

218848125444 is a wasteful number, since it uses less digits than its factorization.

218848125444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3968 counting only the distinct ones).

The product of its digits is 2621440, while the sum is 51.

The spelling of 218848125444 in words is "two hundred eighteen billion, eight hundred forty-eight million, one hundred twenty-five thousand, four hundred forty-four".