218622722472 has 384 divisors, whose sum is σ = 765033984000. Its totient is φ = 54728593920.

The previous prime is 218622722441. The next prime is 218622722491. The reversal of 218622722472 is 274227226812.

It is a happy number.

218622722472 is a `hidden beast` number, since 2 + 18 + 622 + 7 + 2 + 2 + 4 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138105793 + ... + 138107375.

It is an arithmetic number, because the mean of its divisors is an integer number (1992276000).

Almost surely, 2^218622722472 is an apocalyptic number.

218622722472 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 218622722472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382516992000).

218622722472 is an abundant number, since it is smaller than the sum of its proper divisors (546411261528).

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

218622722472 is a wasteful number, since it uses less digits than its factorization.

218622722472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2494 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The spelling of 218622722472 in words is "two hundred eighteen billion, six hundred twenty-two million, seven hundred twenty-two thousand, four hundred seventy-two".