22130713728 has 168 divisors, whose sum is σ = 66238570755. Its totient is φ = 7361756928.

The previous prime is 22130713699. The next prime is 22130713729. The reversal of 22130713728 is 82731703122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22130713728 is a `hidden beast` number, since 2 + 213 + 0 + 71 + 372 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11065356864 + 11065356864 = 105192^2 + 105192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105192.

It is a super-2 number, since 2×22130713728² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22130713692 and 22130713701.

It is not an unprimeable number, because it can be changed into a prime (22130713729) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 45442701 + ... + 45443187.

Almost surely, 2^22130713728 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 22130713728

22130713728 is an abundant number, since it is smaller than the sum of its proper divisors (44107857027).

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

22130713728 is an frugal number, since it uses more digits than its factorization.

22130713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 22130713728 in words is "twenty-two billion, one hundred thirty million, seven hundred thirteen thousand, seven hundred twenty-eight".