22128213744 has 720 divisors, whose sum is σ = 84449094912. Its totient is φ = 5473308672.

The previous prime is 22128213733. The next prime is 22128213763. The reversal of 22128213744 is 44731282122.

22128213744 is a `hidden beast` number, since 2 + 2 + 1 + 282 + 1 + 374 + 4 = 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 = 22128213699 and 22128213708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78191427 + ... + 78191709.

Almost surely, 2^22128213744 is an apocalyptic number.

22128213744 is a gapful number since it is divisible by the number (24) 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 22128213744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42224547456).

22128213744 is an abundant number, since it is smaller than the sum of its proper divisors (62320881168).

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

22128213744 is a wasteful number, since it uses less digits than its factorization.

22128213744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 325 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

Adding to 22128213744 its reverse (44731282122), we get a palindrome (66859495866).

It can be divided in two parts, 2212821 and 3744, that added together give a triangular number (2216565 = T₂₁₀₅).

The spelling of 22128213744 in words is "twenty-two billion, one hundred twenty-eight million, two hundred thirteen thousand, seven hundred forty-four".