218266496 has 128 divisors (see below), whose sum is σ = 521717760. Its totient is φ = 89026560.

The previous prime is 218266453. The next prime is 218266501. The reversal of 218266496 is 694662812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×218266496² = 95280526552236032, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2989916 + ... + 2989988.

It is an arithmetic number, because the mean of its divisors is an integer number (4075920).

Almost surely, 2^218266496 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 218266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260858880).

218266496 is an abundant number, since it is smaller than the sum of its proper divisors (303451264).

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

218266496 is an equidigital number, since it uses as much as digits as its factorization.

218266496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 218266496 is about 14773.8449971563. The cubic root of 218266496 is about 602.0913096450.

The spelling of 218266496 in words is "two hundred eighteen million, two hundred sixty-six thousand, four hundred ninety-six".