20166968448 has 192 divisors, whose sum is σ = 66641047200. Its totient is φ = 5789491200.

The previous prime is 20166968441. The next prime is 20166968461. The reversal of 20166968448 is 84486966102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 20166968394 and 20166968403.

It is not an unprimeable number, because it can be changed into a prime (20166968441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198888 + ... + 282648.

Almost surely, 2^20166968448 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 20166968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33320523600).

20166968448 is an abundant number, since it is smaller than the sum of its proper divisors (46474078752).

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

20166968448 is a wasteful number, since it uses less digits than its factorization.

20166968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83811 (or 83796 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20166968448 in words is "twenty billion, one hundred sixty-six million, nine hundred sixty-eight thousand, four hundred forty-eight".