20818280448 has 480 divisors, whose sum is σ = 72223710720. Its totient is φ = 5876416512.

The previous prime is 20818280443. The next prime is 20818280477. The reversal of 20818280448 is 84408281802.

20818280448 is a `hidden beast` number, since 20 + 8 + 182 + 8 + 0 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20818280443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250822615 + ... + 250822697.

It is an arithmetic number, because the mean of its divisors is an integer number (150466064).

Almost surely, 2^20818280448 is an apocalyptic number.

20818280448 is a gapful number since it is divisible by the number (28) 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 20818280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36111855360).

20818280448 is an abundant number, since it is smaller than the sum of its proper divisors (51405430272).

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

20818280448 is an frugal number, since it uses more digits than its factorization.

20818280448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 20818280448 in words is "twenty billion, eight hundred eighteen million, two hundred eighty thousand, four hundred forty-eight".