22288819248 has 180 divisors, whose sum is σ = 65761104760. Its totient is φ = 7316407296.

The previous prime is 22288819229. The next prime is 22288819261. The reversal of 22288819248 is 84291888222.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 22288819194 and 22288819203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7031808 + ... + 7034976.

Almost surely, 2^22288819248 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 22288819248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32880552380).

22288819248 is an abundant number, since it is smaller than the sum of its proper divisors (43472285512).

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

22288819248 is an frugal number, since it uses more digits than its factorization.

22288819248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3241 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 22288819248 in words is "twenty-two billion, two hundred eighty-eight million, eight hundred nineteen thousand, two hundred forty-eight".