218717074368 has 336 divisors, whose sum is σ = 726547127040. Its totient is φ = 64369603584.

The previous prime is 218717074343. The next prime is 218717074439. The reversal of 218717074368 is 863470717812.

218717074368 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 a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6700455 + ... + 6733017.

It is an arithmetic number, because the mean of its divisors is an integer number (2162342640).

Almost surely, 2^218717074368 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 218717074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363273563520).

218717074368 is an abundant number, since it is smaller than the sum of its proper divisors (507830052672).

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

218717074368 is a wasteful number, since it uses less digits than its factorization.

218717074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32633 (or 32604 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 218717074368 in words is "two hundred eighteen billion, seven hundred seventeen million, seventy-four thousand, three hundred sixty-eight".