222188416560 has 480 divisors, whose sum is σ = 827048851200. Its totient is φ = 53008680960.

The previous prime is 222188416559. The next prime is 222188416577. The reversal of 222188416560 is 65614881222.

222188416560 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 8 + 84 + 1 + 6 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 140713851 + ... + 140715429.

It is an arithmetic number, because the mean of its divisors is an integer number (1723018440).

Almost surely, 2^222188416560 is an apocalyptic number.

222188416560 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 222188416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413524425600).

222188416560 is an abundant number, since it is smaller than the sum of its proper divisors (604860434640).

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

222188416560 is a wasteful number, since it uses less digits than its factorization.

222188416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 222188416560 in words is "two hundred twenty-two billion, one hundred eighty-eight million, four hundred sixteen thousand, five hundred sixty".