22254553205424 has 320 divisors, whose sum is σ = 65225348167680. Its totient is φ = 7263432207360.

The previous prime is 22254553205407. The next prime is 22254553205429. The reversal of 22254553205424 is 42450235545222.

22254553205424 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 4 + 553 + 20 + 54 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22254553205424.

It is not an unprimeable number, because it can be changed into a prime (22254553205429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2693273517 + ... + 2693281779.

It is an arithmetic number, because the mean of its divisors is an integer number (203829213024).

Almost surely, 2^{22254553205424} is an apocalyptic number.

22254553205424 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 22254553205424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32612674083840).

22254553205424 is an abundant number, since it is smaller than the sum of its proper divisors (42970794962256).

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

22254553205424 is a wasteful number, since it uses less digits than its factorization.

22254553205424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 45.

The spelling of 22254553205424 in words is "twenty-two trillion, two hundred fifty-four billion, five hundred fifty-three million, two hundred five thousand, four hundred twenty-four".