218059292416 has 288 divisors, whose sum is σ = 537751872000. Its totient is φ = 86175498240.

The previous prime is 218059292329. The next prime is 218059292441. The reversal of 218059292416 is 614292950812.

It is a self number, because there is not a number n which added to its sum of digits gives 218059292416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268876651 + ... + 268877461.

It is an arithmetic number, because the mean of its divisors is an integer number (1867194000).

Almost surely, 2^218059292416 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 218059292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268875936000).

218059292416 is an abundant number, since it is smaller than the sum of its proper divisors (319692579584).

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

218059292416 is a wasteful number, since it uses less digits than its factorization.

218059292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 218059292416 in words is "two hundred eighteen billion, fifty-nine million, two hundred ninety-two thousand, four hundred sixteen".