22448893333680 has 1200 divisors, whose sum is σ = 87672501100800. Its totient is φ = 5318065843200.

The previous prime is 22448893333673. The next prime is 22448893333681. The reversal of 22448893333680 is 8633339884422.

22448893333680 is a `hidden beast` number, since 2 + 2 + 4 + 488 + 93 + 3 + 3 + 3 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (22448893333681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8280667525 + ... + 8280670235.

It is an arithmetic number, because the mean of its divisors is an integer number (73060417584).

Almost surely, 2^{22448893333680} is an apocalyptic number.

22448893333680 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 22448893333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43836250550400).

22448893333680 is an abundant number, since it is smaller than the sum of its proper divisors (65223607767120).

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

22448893333680 is a wasteful number, since it uses less digits than its factorization.

22448893333680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 22448893333680 in words is "twenty-two trillion, four hundred forty-eight billion, eight hundred ninety-three million, three hundred thirty-three thousand, six hundred eighty".