220022299008768 has 144 divisors (see below), whose sum is σ = 586781203196160. Its totient is φ = 73190458048512.

The previous prime is 220022299008767. The next prime is 220022299008823. The reversal of 220022299008768 is 867800992220022.

It is a super-2 number, since 2×220022299008768² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022299008767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006797880 + ... + 1007016392.

It is an arithmetic number, because the mean of its divisors is an integer number (4074869466640).

Almost surely, 2^{220022299008768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220022299008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293390601598080).

220022299008768 is an abundant number, since it is smaller than the sum of its proper divisors (366758904187392).

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

220022299008768 is a wasteful number, since it uses less digits than its factorization.

220022299008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221214 (or 221200 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 220022299008768 in words is "two hundred twenty trillion, twenty-two billion, two hundred ninety-nine million, eight thousand, seven hundred sixty-eight".