218026496 has 80 divisors (see below), whose sum is σ = 474418296. Its totient is φ = 99680256.

The previous prime is 218026483. The next prime is 218026519. The reversal of 218026496 is 694620812.

It can be written as a sum of positive squares in 4 ways, for example, as 194212096 + 23814400 = 13936^2 + 4880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321710 + ... + 322386.

Almost surely, 2^218026496 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 218026496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237209148).

218026496 is an abundant number, since it is smaller than the sum of its proper divisors (256391800).

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

218026496 is an equidigital number, since it uses as much as digits as its factorization.

218026496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 218026496 is about 14765.7203007507. The cubic root of 218026496 is about 601.8705475449.

The spelling of 218026496 in words is "two hundred eighteen million, twenty-six thousand, four hundred ninety-six".