218132352 has 96 divisors (see below), whose sum is σ = 651039480. Its totient is φ = 72700416.

The previous prime is 218132333. The next prime is 218132363. The reversal of 218132352 is 253231812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27598 + ... + 34610.

Almost surely, 2^218132352 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 218132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325519740).

218132352 is an abundant number, since it is smaller than the sum of its proper divisors (432907128).

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

218132352 is an frugal number, since it uses more digits than its factorization.

218132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7018 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 218132352 is about 14769.3043844319. The cubic root of 218132352 is about 601.9679383078.

The spelling of 218132352 in words is "two hundred eighteen million, one hundred thirty-two thousand, three hundred fifty-two".