218066368 has 56 divisors (see below), whose sum is σ = 467969600. Its totient is φ = 100224000.

The previous prime is 218066353. The next prime is 218066371. The reversal of 218066368 is 863660812.

It is a super-2 number, since 2×218066368² = 95105881705422848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218066368.

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 7 ways as a sum of consecutive naturals, for example, 289993 + ... + 290743.

It is an arithmetic number, because the mean of its divisors is an integer number (8356600).

Almost surely, 2^218066368 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 218066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233984800).

218066368 is an abundant number, since it is smaller than the sum of its proper divisors (249903232).

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

218066368 is a wasteful number, since it uses less digits than its factorization.

218066368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 218066368 is about 14767.0703932771. The cubic root of 218066368 is about 601.9072347062.

The spelling of 218066368 in words is "two hundred eighteen million, sixty-six thousand, three hundred sixty-eight".