218449253808 has 200 divisors, whose sum is σ = 655357435392. Its totient is φ = 70202132352.

The previous prime is 218449253801. The next prime is 218449253809. The reversal of 218449253808 is 808352944812.

218449253808 is a `hidden beast` number, since 2 + 18 + 4 + 4 + 92 + 538 + 0 + 8 = 666.

218449253808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (218449253801) 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 39 ways as a sum of consecutive naturals, for example, 4054341 + ... + 4107867.

Almost surely, 2^218449253808 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 218449253808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327678717696).

218449253808 is an abundant number, since it is smaller than the sum of its proper divisors (436908181584).

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

218449253808 is a wasteful number, since it uses less digits than its factorization.

218449253808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53661 (or 53646 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 218449253808 in words is "two hundred eighteen billion, four hundred forty-nine million, two hundred fifty-three thousand, eight hundred eight".