222468918000 has 960 divisors, whose sum is σ = 875250230400. Its totient is φ = 48409804800.

The previous prime is 222468917977. The next prime is 222468918073. The reversal of 222468918000 is 819864222.

222468918000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 827021866 + ... + 827022134.

It is an arithmetic number, because the mean of its divisors is an integer number (911718990).

Almost surely, 2^222468918000 is an apocalyptic number.

222468918000 is a gapful number since it is divisible by the number (20) 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 222468918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437625115200).

222468918000 is an abundant number, since it is smaller than the sum of its proper divisors (652781312400).

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

222468918000 is a wasteful number, since it uses less digits than its factorization.

222468918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 222468918000 in words is "two hundred twenty-two billion, four hundred sixty-eight million, nine hundred eighteen thousand".