222413416680 has 1152 divisors, whose sum is σ = 885737099520. Its totient is φ = 44482314240.

The previous prime is 222413416679. The next prime is 222413416691. The reversal of 222413416680 is 86614314222.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2159353509 + ... + 2159353611.

It is an arithmetic number, because the mean of its divisors is an integer number (768869010).

Almost surely, 2^222413416680 is an apocalyptic number.

222413416680 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 222413416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442868549760).

222413416680 is an abundant number, since it is smaller than the sum of its proper divisors (663323682840).

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

222413416680 is a wasteful number, since it uses less digits than its factorization.

222413416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 222413416680 in words is "two hundred twenty-two billion, four hundred thirteen million, four hundred sixteen thousand, six hundred eighty".