218091149568 has 180 divisors, whose sum is σ = 652445658480. Its totient is φ = 72458136576.

The previous prime is 218091149561. The next prime is 218091149569. The reversal of 218091149568 is 865941190812.

218091149568 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 91 + 1 + 495 + 68 = 666.

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 (218091149561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6348823 + ... + 6383081.

Almost surely, 2^218091149568 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 218091149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326222829240).

218091149568 is an abundant number, since it is smaller than the sum of its proper divisors (434354508912).

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

218091149568 is an equidigital number, since it uses as much as digits as its factorization.

218091149568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34594 (or 34571 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 218091149568 in words is "two hundred eighteen billion, ninety-one million, one hundred forty-nine thousand, five hundred sixty-eight".