218531214330 has 256 divisors, whose sum is σ = 622015801344. Its totient is φ = 48440263680.

The previous prime is 218531214301. The next prime is 218531214331. The reversal of 218531214330 is 33412135812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 218531214291 and 218531214300.

It is not an unprimeable number, because it can be changed into a prime (218531214331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 388154629 + ... + 388155191.

It is an arithmetic number, because the mean of its divisors is an integer number (2429749224).

Almost surely, 2^218531214330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218531214330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311007900672).

218531214330 is an abundant number, since it is smaller than the sum of its proper divisors (403484587014).

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

218531214330 is a wasteful number, since it uses less digits than its factorization.

218531214330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 218531214330 in words is "two hundred eighteen billion, five hundred thirty-one million, two hundred fourteen thousand, three hundred thirty".