218216296320 has 128 divisors (see below), whose sum is σ = 758797649280. Its totient is φ = 52900915200.

The previous prime is 218216296307. The next prime is 218216296367. The reversal of 218216296320 is 23692612812.

218216296320 is digitally balanced in base 2, 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5144986 + ... + 5187225.

It is an arithmetic number, because the mean of its divisors is an integer number (5928106635).

Almost surely, 2^218216296320 is an apocalyptic number.

218216296320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218216296320 is an abundant number, since it is smaller than the sum of its proper divisors (540581352960).

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

218216296320 is a wasteful number, since it uses less digits than its factorization.

218216296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332244 (or 10332232 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 218216296320 in words is "two hundred eighteen billion, two hundred sixteen million, two hundred ninety-six thousand, three hundred twenty".