20284419168 has 336 divisors, whose sum is σ = 64990776816. Its totient is φ = 6192184320.

The previous prime is 20284419167. The next prime is 20284419173. The reversal of 20284419168 is 86191448202.

20284419168 is a `hidden beast` number, since 20 + 28 + 441 + 9 + 168 = 666.

It is a super-2 number, since 2×20284419168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20284419167) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63988546 + ... + 63988862.

It is an arithmetic number, because the mean of its divisors is an integer number (193424931).

Almost surely, 2^20284419168 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 20284419168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32495388408).

20284419168 is an abundant number, since it is smaller than the sum of its proper divisors (44706357648).

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

20284419168 is a wasteful number, since it uses less digits than its factorization.

20284419168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20284419168 in words is "twenty billion, two hundred eighty-four million, four hundred nineteen thousand, one hundred sixty-eight".