22218147072 has 504 divisors, whose sum is σ = 73993127040. Its totient is φ = 6599024640.

The previous prime is 22218147047. The next prime is 22218147089. The reversal of 22218147072 is 27074181222.

22218147072 is a `hidden beast` number, since 2 + 2 + 2 + 181 + 470 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 162176188 + ... + 162176324.

It is an arithmetic number, because the mean of its divisors is an integer number (146811760).

Almost surely, 2^22218147072 is an apocalyptic number.

22218147072 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 22218147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36996563520).

22218147072 is an abundant number, since it is smaller than the sum of its proper divisors (51774979968).

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

22218147072 is an equidigital number, since it uses as much as digits as its factorization.

22218147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 22218147072 in words is "twenty-two billion, two hundred eighteen million, one hundred forty-seven thousand, seventy-two".