218816193820 has 48 divisors (see below), whose sum is σ = 552798812160. Its totient is φ = 71074131264.

The previous prime is 218816193809. The next prime is 218816193851. The reversal of 218816193820 is 28391618812.

It is a happy number.

218816193820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 41128204 + ... + 41133523.

It is an arithmetic number, because the mean of its divisors is an integer number (11516641920).

Almost surely, 2^218816193820 is an apocalyptic number.

218816193820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218816193820 is an abundant number, since it is smaller than the sum of its proper divisors (333982618340).

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

218816193820 is a wasteful number, since it uses less digits than its factorization.

218816193820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82261762 (or 82261760 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 218816193820 in words is "two hundred eighteen billion, eight hundred sixteen million, one hundred ninety-three thousand, eight hundred twenty".