218848896 has 144 divisors (see below), whose sum is σ = 732767490. Its totient is φ = 62512128.

The previous prime is 218848891. The next prime is 218848937. The reversal of 218848896 is 698848812.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 14930496 = 14280^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (218848891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54510 + ... + 58386.

Almost surely, 2^218848896 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 218848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366383745).

218848896 is an abundant number, since it is smaller than the sum of its proper divisors (513918594).

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

218848896 is a wasteful number, since it uses less digits than its factorization.

218848896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3889 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 218848896 is about 14793.5423749689. The cubic root of 218848896 is about 602.6263536700.

The spelling of 218848896 in words is "two hundred eighteen million, eight hundred forty-eight thousand, eight hundred ninety-six".