218198448 has 140 divisors (see below), whose sum is σ = 683081280. Its totient is φ = 67091328.

The previous prime is 218198423. The next prime is 218198471. The reversal of 218198448 is 844891812.

218198448 is a `hidden beast` number, since 2 + 18 + 198 + 448 = 666.

It is a super-2 number, since 2×218198448² = 95221125419217408, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 150913 + ... + 152351.

It is an arithmetic number, because the mean of its divisors is an integer number (4879152).

Almost surely, 2^218198448 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 218198448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341540640).

218198448 is an abundant number, since it is smaller than the sum of its proper divisors (464882832).

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

218198448 is a wasteful number, since it uses less digits than its factorization.

218198448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1457 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 218198448 is about 14771.5418288004. The cubic root of 218198448 is about 602.0287326750.

The spelling of 218198448 in words is "two hundred eighteen million, one hundred ninety-eight thousand, four hundred forty-eight".