218481725616 has 240 divisors, whose sum is σ = 726310846464. Its totient is φ = 55363968000.

The previous prime is 218481725599. The next prime is 218481725647. The reversal of 218481725616 is 616527184812.

It is a happy number.

It is a super-2 number, since 2×218481725616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1601361 + ... + 1732431.

Almost surely, 2^218481725616 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 218481725616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363155423232).

218481725616 is an abundant number, since it is smaller than the sum of its proper divisors (507829120848).

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

218481725616 is a wasteful number, since it uses less digits than its factorization.

218481725616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131152 (or 131135 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The spelling of 218481725616 in words is "two hundred eighteen billion, four hundred eighty-one million, seven hundred twenty-five thousand, six hundred sixteen".