218751842272 has 48 divisors (see below), whose sum is σ = 450644705280. Its totient is φ = 104328898432.

The previous prime is 218751842227. The next prime is 218751842291. The reversal of 218751842272 is 272248157812.

218751842272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218751842272² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 149728 + ... + 678175.

It is an arithmetic number, because the mean of its divisors is an integer number (9388431360).

Almost surely, 2^218751842272 is an apocalyptic number.

It is an amenable number.

218751842272 is an abundant number, since it is smaller than the sum of its proper divisors (231892863008).

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

218751842272 is a wasteful number, since it uses less digits than its factorization.

218751842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828295 (or 828287 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 49.

The spelling of 218751842272 in words is "two hundred eighteen billion, seven hundred fifty-one million, eight hundred forty-two thousand, two hundred seventy-two".