22985638144 has 108 divisors (see below), whose sum is σ = 53570494908. Its totient is φ = 9814425600.

The previous prime is 22985638141. The next prime is 22985638147. The reversal of 22985638144 is 44183658922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22985638141) and next prime (22985638147).

It can be written as a sum of positive squares in 2 ways, for example, as 18823840000 + 4161798144 = 137200^2 + 64512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22985638091 and 22985638100.

It is not an unprimeable number, because it can be changed into a prime (22985638141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3521604 + ... + 3528124.

It is an arithmetic number, because the mean of its divisors is an integer number (496023101).

Almost surely, 2^22985638144 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 22985638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26785247454).

22985638144 is an abundant number, since it is smaller than the sum of its proper divisors (30584856764).

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

22985638144 is an equidigital number, since it uses as much as digits as its factorization.

22985638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6811 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 22985638144 in words is "twenty-two billion, nine hundred eighty-five million, six hundred thirty-eight thousand, one hundred forty-four".