218981376 has 66 divisors (see below), whose sum is σ = 632330582. Its totient is φ = 72990720.

The previous prime is 218981363. The next prime is 218981383. The reversal of 218981376 is 673189812.

It can be written as a sum of positive squares in only one way, i.e., 191102976 + 27878400 = 13824^2 + 5280^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2665 + ... + 21096.

Almost surely, 2^218981376 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 218981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316165291).

218981376 is an abundant number, since it is smaller than the sum of its proper divisors (413349206).

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

218981376 is a wasteful number, since it uses less digits than its factorization.

218981376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23787 (or 23766 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 218981376 is about 14798.0193269235. The cubic root of 218981376 is about 602.7479289314.

The spelling of 218981376 in words is "two hundred eighteen million, nine hundred eighty-one thousand, three hundred seventy-six".