20339823168 has 784 divisors, whose sum is σ = 74624793600. Its totient is φ = 5486745600.

The previous prime is 20339823167. The next prime is 20339823173. The reversal of 20339823168 is 86132893302.

20339823168 is a `hidden beast` number, since 20 + 3 + 398 + 231 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20339823167) 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 111 ways as a sum of consecutive naturals, for example, 496093228 + ... + 496093268.

Almost surely, 2^20339823168 is an apocalyptic number.

20339823168 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 20339823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37312396800).

20339823168 is an abundant number, since it is smaller than the sum of its proper divisors (54284970432).

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

20339823168 is an frugal number, since it uses more digits than its factorization.

20339823168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20339823168 in words is "twenty billion, three hundred thirty-nine million, eight hundred twenty-three thousand, one hundred sixty-eight".