22827148344 has 768 divisors, whose sum is σ = 90876764160. Its totient is φ = 4976640000.

The previous prime is 22827148303. The next prime is 22827148349. The reversal of 22827148344 is 44384172822.

22827148344 is a `hidden beast` number, since 22 + 82 + 71 + 483 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22827148344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22827148349) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37981644 + ... + 37982244.

It is an arithmetic number, because the mean of its divisors is an integer number (118329120).

Almost surely, 2^22827148344 is an apocalyptic number.

22827148344 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 22827148344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45438382080).

22827148344 is an abundant number, since it is smaller than the sum of its proper divisors (68049615816).

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

22827148344 is a wasteful number, since it uses less digits than its factorization.

22827148344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 685 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

It can be divided in two parts, 22827 and 148344, that added together give a palindrome (171171).

The spelling of 22827148344 in words is "twenty-two billion, eight hundred twenty-seven million, one hundred forty-eight thousand, three hundred forty-four".