222189162624 has 384 divisors, whose sum is σ = 767159527680. Its totient is φ = 60826337280.

The previous prime is 222189162623. The next prime is 222189162661. The reversal of 222189162624 is 426261981222.

222189162624 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 8 + 9 + 16 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 222189162624.

It is not an unprimeable number, because it can be changed into a prime (222189162623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7728244 + ... + 7756940.

It is an arithmetic number, because the mean of its divisors is an integer number (1997811270).

Almost surely, 2^222189162624 is an apocalyptic number.

222189162624 is a gapful number since it is divisible by the number (24) 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 222189162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383579763840).

222189162624 is an abundant number, since it is smaller than the sum of its proper divisors (544970365056).

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

222189162624 is a wasteful number, since it uses less digits than its factorization.

222189162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28788 (or 28773 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 222189162624 in words is "two hundred twenty-two billion, one hundred eighty-nine million, one hundred sixty-two thousand, six hundred twenty-four".