218212567672 has 64 divisors (see below), whose sum is σ = 450945468000. Its totient is φ = 98165760000.

The previous prime is 218212567669. The next prime is 218212567691. The reversal of 218212567672 is 276765212812.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41317672 + ... + 41322952.

Almost surely, 2^218212567672 is an apocalyptic number.

218212567672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218212567672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225472734000).

218212567672 is an abundant number, since it is smaller than the sum of its proper divisors (232732900328).

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

218212567672 is a wasteful number, since it uses less digits than its factorization.

218212567672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10044 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

The spelling of 218212567672 in words is "two hundred eighteen billion, two hundred twelve million, five hundred sixty-seven thousand, six hundred seventy-two".