222384314880 has 1440 divisors, whose sum is σ = 981274694400. Its totient is φ = 45546209280.

The previous prime is 222384314869. The next prime is 222384314903. The reversal of 222384314880 is 88413483222.

222384314880 is a `hidden beast` number, since 22 + 238 + 4 + 314 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1117509021 + ... + 1117509219.

It is an arithmetic number, because the mean of its divisors is an integer number (681440760).

Almost surely, 2^222384314880 is an apocalyptic number.

222384314880 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 222384314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490637347200).

222384314880 is an abundant number, since it is smaller than the sum of its proper divisors (758890379520).

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

222384314880 is a wasteful number, since it uses less digits than its factorization.

222384314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 222384314880 in words is "two hundred twenty-two billion, three hundred eighty-four million, three hundred fourteen thousand, eight hundred eighty".