218440824672 has 384 divisors, whose sum is σ = 691084735488. Its totient is φ = 59122483200.

The previous prime is 218440824587. The next prime is 218440824673. The reversal of 218440824672 is 276428044812.

218440824672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218440824673) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 134756022 + ... + 134757642.

It is an arithmetic number, because the mean of its divisors is an integer number (1799699832).

Almost surely, 2^218440824672 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 218440824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345542367744).

218440824672 is an abundant number, since it is smaller than the sum of its proper divisors (472643910816).

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

218440824672 is a wasteful number, since it uses less digits than its factorization.

218440824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 218440824672 in words is "two hundred eighteen billion, four hundred forty million, eight hundred twenty-four thousand, six hundred seventy-two".