218354464 has 48 divisors (see below), whose sum is σ = 444019968. Its totient is φ = 105622272.

The previous prime is 218354453. The next prime is 218354467. The reversal of 218354464 is 464453812.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (218354467) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 263619 + ... + 264445.

It is an arithmetic number, because the mean of its divisors is an integer number (9250416).

Almost surely, 2^218354464 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 218354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222009984).

218354464 is an abundant number, since it is smaller than the sum of its proper divisors (225665504).

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

218354464 is a wasteful number, since it uses less digits than its factorization.

218354464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 218354464 is about 14776.8218504521. The cubic root of 218354464 is about 602.1721857841.

The spelling of 218354464 in words is "two hundred eighteen million, three hundred fifty-four thousand, four hundred sixty-four".