218866368 has 56 divisors (see below), whose sum is σ = 661814272. Its totient is φ = 62532864.

The previous prime is 218866331. The next prime is 218866379. The reversal of 218866368 is 863668812.

218866368 is digitally balanced in base 3, 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 (56).

It is a super-2 number, since 2×218866368² = 95804974083022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80080 + ... + 82767.

It is an arithmetic number, because the mean of its divisors is an integer number (11818112).

Almost surely, 2^218866368 is an apocalyptic number.

218866368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218866368 is an abundant number, since it is smaller than the sum of its proper divisors (442947904).

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

218866368 is a wasteful number, since it uses less digits than its factorization.

218866368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162869 (or 162859 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 218866368 is about 14794.1328911160. The cubic root of 218866368 is about 602.6423903170.

It can be divided in two parts, 218 and 866368, that added together give a triangular number (866586 = T₁₃₁₆).

The spelling of 218866368 in words is "two hundred eighteen million, eight hundred sixty-six thousand, three hundred sixty-eight".