218868688672 has 24 divisors (see below), whose sum is σ = 440918611056. Its totient is φ = 106889358912.

The previous prime is 218868688667. The next prime is 218868688693. The reversal of 218868688672 is 276886868812.

218868688672 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 2×218868688672² (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 79529398 + ... + 79532149.

It is an arithmetic number, because the mean of its divisors is an integer number (18371608794).

Almost surely, 2^218868688672 is an apocalyptic number.

It is an amenable number.

218868688672 is an abundant number, since it is smaller than the sum of its proper divisors (222049922384).

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

218868688672 is a wasteful number, since it uses less digits than its factorization.

218868688672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159061600 (or 159061592 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 70.

It can be divided in two parts, 21886868867 and 2, that multiplied together give a palindrome (43773737734).

The spelling of 218868688672 in words is "two hundred eighteen billion, eight hundred sixty-eight million, six hundred eighty-eight thousand, six hundred seventy-two".