222814368000 has 1728 divisors, whose sum is σ = 1010543788800. Its totient is φ = 48074342400.

The previous prime is 222814367989. The next prime is 222814368053. The reversal of 222814368000 is 863418222.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 804383862 + ... + 804384138.

Almost surely, 2^222814368000 is an apocalyptic number.

222814368000 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 222814368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505271894400).

222814368000 is an abundant number, since it is smaller than the sum of its proper divisors (787729420800).

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

222814368000 is a wasteful number, since it uses less digits than its factorization.

222814368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 222814368000 in words is "two hundred twenty-two billion, eight hundred fourteen million, three hundred sixty-eight thousand".