218164352 has 32 divisors (see below), whose sum is σ = 496715520. Its totient is φ = 93498624.

The previous prime is 218164351. The next prime is 218164357. The reversal of 218164352 is 253461812.

218164352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (218164351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120848 + ... + 122639.

It is an arithmetic number, because the mean of its divisors is an integer number (15522360).

Almost surely, 2^218164352 is an apocalyptic number.

It is an amenable number.

218164352 is an abundant number, since it is smaller than the sum of its proper divisors (278551168).

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

218164352 is an equidigital number, since it uses as much as digits as its factorization.

218164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243508 (or 243496 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 218164352 is about 14770.3876726374. The cubic root of 218164352 is about 601.9973730860.

The spelling of 218164352 in words is "two hundred eighteen million, one hundred sixty-four thousand, three hundred fifty-two".