22612340128 has 72 divisors (see below), whose sum is σ = 51232783392. Its totient is φ = 9623845632.

The previous prime is 22612340081. The next prime is 22612340159. The reversal of 22612340128 is 82104321622.

It is a super-3 number, since 3×22612340128³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22612340128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4970751 + ... + 4975297.

It is an arithmetic number, because the mean of its divisors is an integer number (711566436).

Almost surely, 2^22612340128 is an apocalyptic number.

22612340128 is a gapful number since it is divisible by the number (28) 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 22612340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25616391696).

22612340128 is an abundant number, since it is smaller than the sum of its proper divisors (28620443264).

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

22612340128 is an equidigital number, since it uses as much as digits as its factorization.

22612340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 22612340128 in words is "twenty-two billion, six hundred twelve million, three hundred forty thousand, one hundred twenty-eight".