218554145568 has 864 divisors, whose sum is σ = 749557186560. Its totient is φ = 62509708800.

The previous prime is 218554145567. The next prime is 218554145609. The reversal of 218554145568 is 865541455812.

It is a happy number.

218554145568 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 541 + 45 + 56 + 8 = 666.

218554145568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 (218554145567) 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 143 ways as a sum of consecutive naturals, for example, 1720898721 + ... + 1720898847.

It is an arithmetic number, because the mean of its divisors is an integer number (867543040).

Almost surely, 2^218554145568 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 218554145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374778593280).

218554145568 is an abundant number, since it is smaller than the sum of its proper divisors (531003040992).

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

218554145568 is a wasteful number, since it uses less digits than its factorization.

218554145568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 233 counting only the distinct ones).

The product of its digits is 7680000, while the sum is 54.

The spelling of 218554145568 in words is "two hundred eighteen billion, five hundred fifty-four million, one hundred forty-five thousand, five hundred sixty-eight".