218108343672 has 192 divisors, whose sum is σ = 638265139200. Its totient is φ = 67078851840.

The previous prime is 218108343653. The next prime is 218108343689. The reversal of 218108343672 is 276343801812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79862547 + ... + 79865277.

It is an arithmetic number, because the mean of its divisors is an integer number (3324297600).

Almost surely, 2^218108343672 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 218108343672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319132569600).

218108343672 is an abundant number, since it is smaller than the sum of its proper divisors (420156795528).

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

218108343672 is a wasteful number, since it uses less digits than its factorization.

218108343672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 218108343672 in words is "two hundred eighteen billion, one hundred eight million, three hundred forty-three thousand, six hundred seventy-two".