20448583484121 has 81 divisors (see below), whose sum is σ = 32691916221471. Its totient is φ = 12311012155104.

The previous prime is 20448583484107. The next prime is 20448583484129. The reversal of 20448583484121 is 12148438584402.

The square root of 20448583484121 is 4522011.

It is a perfect power (a square), and thus also a powerful number.

20448583484121 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 8 + 583 + 48 + 4 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3024938385225 + 17423645098896 = 1739235^2 + 4174164^2 .

It is not a de Polignac number, because 20448583484121 - 2⁵ = 20448583484089 is a prime.

It is a super-2 number, since 2×20448583484121² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20448583484129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8288844930 + ... + 8288847396.

Almost surely, 2^{20448583484121} is an apocalyptic number.

20448583484121 is the 4522011-st square number.

20448583484121 is the 2261006-th centered octagonal number.

It is an amenable number.

20448583484121 is a deficient number, since it is larger than the sum of its proper divisors (12243332737350).

20448583484121 is an frugal number, since it uses more digits than its factorization.

20448583484121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 20448583484121 in words is "twenty trillion, four hundred forty-eight billion, five hundred eighty-three million, four hundred eighty-four thousand, one hundred twenty-one".