22528546454448 has 320 divisors, whose sum is σ = 66913377984000. Its totient is φ = 7251585315840.

The previous prime is 22528546454363. The next prime is 22528546454471. The reversal of 22528546454448 is 84445464582522.

It is a happy number.

22528546454448 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 8 + 5 + 46 + 4 + 544 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3627198063 + ... + 3627204273.

It is an arithmetic number, because the mean of its divisors is an integer number (209104306200).

Almost surely, 2^{22528546454448} 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 22528546454448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33456688992000).

22528546454448 is an abundant number, since it is smaller than the sum of its proper divisors (44384831529552).

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

22528546454448 is a wasteful number, since it uses less digits than its factorization.

22528546454448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937 (or 7925 counting only the distinct ones).

The product of its digits is 393216000, while the sum is 63.

The spelling of 22528546454448 in words is "twenty-two trillion, five hundred twenty-eight billion, five hundred forty-six million, four hundred fifty-four thousand, four hundred forty-eight".