218943648 has 240 divisors, whose sum is σ = 803525184. Its totient is φ = 56816640.

The previous prime is 218943643. The next prime is 218943653. The reversal of 218943648 is 846349812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (218943643) and next prime (218943653).

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 (218943643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199036 + ... + 200132.

Almost surely, 2^218943648 is an apocalyptic number.

218943648 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 218943648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401762592).

218943648 is an abundant number, since it is smaller than the sum of its proper divisors (584581536).

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

218943648 is a wasteful number, since it uses less digits than its factorization.

218943648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 218943648 is about 14796.7445068164. The cubic root of 218943648 is about 602.7133114061.

The spelling of 218943648 in words is "two hundred eighteen million, nine hundred forty-three thousand, six hundred forty-eight".