218006144 has 32 divisors (see below), whose sum is σ = 453198240. Its totient is φ = 104262400.

The previous prime is 218006101. The next prime is 218006153. The reversal of 218006144 is 441600812.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34082 + ... + 39969.

It is an arithmetic number, because the mean of its divisors is an integer number (14162445).

Almost surely, 2^218006144 is an apocalyptic number.

It is an amenable number.

218006144 is an abundant number, since it is smaller than the sum of its proper divisors (235192096).

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

218006144 is an equidigital number, since it uses as much as digits as its factorization.

218006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74088 (or 74076 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 218006144 is about 14765.0311208612. The cubic root of 218006144 is about 601.8518194686.

Adding to 218006144 its reverse (441600812), we get a palindrome (659606956).

The spelling of 218006144 in words is "two hundred eighteen million, six thousand, one hundred forty-four".