22123777536 has 720 divisors, whose sum is σ = 81504783360. Its totient is φ = 5957038080.

The previous prime is 22123777531. The next prime is 22123777561. The reversal of 22123777536 is 63577732122.

It is a happy number.

22123777536 is a `hidden beast` number, since 2 + 2 + 12 + 37 + 77 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22123777491 and 22123777500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123777531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115831201 + ... + 115831391.

It is an arithmetic number, because the mean of its divisors is an integer number (113201088).

Almost surely, 2^22123777536 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 22123777536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40752391680).

22123777536 is an abundant number, since it is smaller than the sum of its proper divisors (59381005824).

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

22123777536 is an equidigital number, since it uses as much as digits as its factorization.

22123777536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 222 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 22123777536 in words is "twenty-two billion, one hundred twenty-three million, seven hundred seventy-seven thousand, five hundred thirty-six".