20317499748000 has 5184 divisors, whose sum is σ = 101712143594880. Its totient is φ = 3804143616000.

The previous prime is 20317499747953. The next prime is 20317499748001. The reversal of 20317499748000 is 84799471302.

20317499748000 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 7 + 499 + 74 + 80 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20317499748001) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 96291467895 + ... + 96291468105.

It is an arithmetic number, because the mean of its divisors is an integer number (19620398070).

Almost surely, 2^{20317499748000} is an apocalyptic number.

20317499748000 is a gapful number since it is divisible by the number (20) 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 20317499748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50856071797440).

20317499748000 is an abundant number, since it is smaller than the sum of its proper divisors (81394643846880).

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

20317499748000 is a wasteful number, since it uses less digits than its factorization.

20317499748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 20317499748000 in words is "twenty trillion, three hundred seventeen billion, four hundred ninety-nine million, seven hundred forty-eight thousand".