218382729952 has 48 divisors (see below), whose sum is σ = 444552192000. Its totient is φ = 105492366720.

The previous prime is 218382729941. The next prime is 218382729959. The reversal of 218382729952 is 259927283812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218382729959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410449 + ... + 777967.

It is an arithmetic number, because the mean of its divisors is an integer number (9261504000).

Almost surely, 2^218382729952 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 218382729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222276096000).

218382729952 is an abundant number, since it is smaller than the sum of its proper divisors (226169462048).

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

218382729952 is a wasteful number, since it uses less digits than its factorization.

218382729952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368159 (or 368151 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 218382729952 in words is "two hundred eighteen billion, three hundred eighty-two million, seven hundred twenty-nine thousand, nine hundred fifty-two".