218563340688 has 480 divisors, whose sum is σ = 797030986752. Its totient is φ = 56326233600.

The previous prime is 218563340657. The next prime is 218563340707. The reversal of 218563340688 is 886043365812.

218563340688 is a `hidden beast` number, since 2 + 18 + 563 + 3 + 4 + 0 + 68 + 8 = 666.

218563340688 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 an unprimeable number.

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, 39215470 + ... + 39221042.

Almost surely, 2^218563340688 is an apocalyptic number.

218563340688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218563340688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398515493376).

218563340688 is an abundant number, since it is smaller than the sum of its proper divisors (578467646064).

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

218563340688 is a wasteful number, since it uses less digits than its factorization.

218563340688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 218563340688 in words is "two hundred eighteen billion, five hundred sixty-three million, three hundred forty thousand, six hundred eighty-eight".