218851248 has 180 divisors, whose sum is σ = 723833880. Its totient is φ = 56770560.

The previous prime is 218851247. The next prime is 218851301. The reversal of 218851248 is 842158812.

218851248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (218851247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284208 + ... + 284976.

Almost surely, 2^218851248 is an apocalyptic number.

218851248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218851248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361916940).

218851248 is an abundant number, since it is smaller than the sum of its proper divisors (504982632).

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

218851248 is a wasteful number, since it uses less digits than its factorization.

218851248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 792 counting only the distinct ones).

The product of its digits is 40960, while the sum is 39.

The square root of 218851248 is about 14793.6218689001. The cubic root of 218851248 is about 602.6285124991.

The spelling of 218851248 in words is "two hundred eighteen million, eight hundred fifty-one thousand, two hundred forty-eight".