22142644128 has 144 divisors (see below), whose sum is σ = 68756216256. Its totient is φ = 6703672320.

The previous prime is 22142644123. The next prime is 22142644129. The reversal of 22142644128 is 82144624122.

22142644128 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 644 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 22142644092 and 22142644101.

It is not an unprimeable number, because it can be changed into a prime (22142644123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4328100 + ... + 4333212.

It is an arithmetic number, because the mean of its divisors is an integer number (477473724).

Almost surely, 2^22142644128 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 22142644128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34378108128).

22142644128 is an abundant number, since it is smaller than the sum of its proper divisors (46613572128).

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

22142644128 is a wasteful number, since it uses less digits than its factorization.

22142644128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6496 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 22142644128 in words is "twenty-two billion, one hundred forty-two million, six hundred forty-four thousand, one hundred twenty-eight".