22142248128 has 1120 divisors, whose sum is σ = 93683132928. Its totient is φ = 4976640000.

The previous prime is 22142248109. The next prime is 22142248133. The reversal of 22142248128 is 82184224122.

22142248128 is a `hidden beast` number, since 221 + 422 + 4 + 8 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 22142248092 and 22142248101.

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 159 ways as a sum of consecutive naturals, for example, 88216003 + ... + 88216253.

Almost surely, 2^22142248128 is an apocalyptic number.

22142248128 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 22142248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46841566464).

22142248128 is an abundant number, since it is smaller than the sum of its proper divisors (71540884800).

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

22142248128 is a wasteful number, since it uses less digits than its factorization.

22142248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The spelling of 22142248128 in words is "twenty-two billion, one hundred forty-two million, two hundred forty-eight thousand, one hundred twenty-eight".