218832848 has 60 divisors (see below), whose sum is σ = 468290340. Its totient is φ = 98477568.

The previous prime is 218832847. The next prime is 218832881. The reversal of 218832848 is 848238812.

218832848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 14793²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 34199104 + 184633744 = 5848^2 + 13588^2 .

It is a super-2 number, since 2×218832848² = 95775630727582208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218832799 and 218832808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218832847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384308 + ... + 384876.

It is an arithmetic number, because the mean of its divisors is an integer number (7804839).

Almost surely, 2^218832848 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 218832848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234145170).

218832848 is an abundant number, since it is smaller than the sum of its proper divisors (249457492).

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

218832848 is a wasteful number, since it uses less digits than its factorization.

218832848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 627 counting only the distinct ones).

The product of its digits is 196608, while the sum is 44.

The square root of 218832848 is about 14792.9999662002. Note that the first 4 decimals coincide. The cubic root of 218832848 is about 602.6116232871.

The spelling of 218832848 in words is "two hundred eighteen million, eight hundred thirty-two thousand, eight hundred forty-eight".