218357828208 has 240 divisors, whose sum is σ = 685224059520. Its totient is φ = 64472371200.

The previous prime is 218357828203. The next prime is 218357828239. The reversal of 218357828208 is 802828753812.

218357828208 is a `hidden beast` number, since 2 + 1 + 8 + 357 + 8 + 282 + 0 + 8 = 666.

It is a super-2 number, since 2×218357828208² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218357828203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4658553 + ... + 4705191.

It is an arithmetic number, because the mean of its divisors is an integer number (2855100248).

Almost surely, 2^218357828208 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 218357828208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342612029760).

218357828208 is an abundant number, since it is smaller than the sum of its proper divisors (466866231312).

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

218357828208 is a wasteful number, since it uses less digits than its factorization.

218357828208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46768 (or 46759 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 218357828208 in words is "two hundred eighteen billion, three hundred fifty-seven million, eight hundred twenty-eight thousand, two hundred eight".