22211162688 has 336 divisors, whose sum is σ = 70079542848. Its totient is φ = 6167040000.

The previous prime is 22211162683. The next prime is 22211162707. The reversal of 22211162688 is 88626111222.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22211162683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75805870 + ... + 75806162.

It is an arithmetic number, because the mean of its divisors is an integer number (208570068).

Almost surely, 2^22211162688 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 22211162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35039771424).

22211162688 is an abundant number, since it is smaller than the sum of its proper divisors (47868380160).

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

22211162688 is a wasteful number, since it uses less digits than its factorization.

22211162688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 573 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The spelling of 22211162688 in words is "twenty-two billion, two hundred eleven million, one hundred sixty-two thousand, six hundred eighty-eight".