22182330418560 has 2048 divisors, whose sum is σ = 90026237952000. Its totient is φ = 5123948544000.

The previous prime is 22182330418541. The next prime is 22182330418561. The reversal of 22182330418560 is 6581403328122.

22182330418560 is a `hidden beast` number, since 2 + 2 + 1 + 82 + 3 + 3 + 0 + 4 + 1 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22182330418561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33558744630 + ... + 33558745290.

It is an arithmetic number, because the mean of its divisors is an integer number (43958124000).

Almost surely, 2^{22182330418560} is an apocalyptic number.

22182330418560 is a gapful number since it is divisible by the number (20) 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 22182330418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45013118976000).

22182330418560 is an abundant number, since it is smaller than the sum of its proper divisors (67843907533440).

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

22182330418560 is a wasteful number, since it uses less digits than its factorization.

22182330418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 22182330418560 in words is "twenty-two trillion, one hundred eighty-two billion, three hundred thirty million, four hundred eighteen thousand, five hundred sixty".