17868304512 has 160 divisors (see below), whose sum is σ = 56304327420. Its totient is φ = 5605687296.

The previous prime is 17868304471. The next prime is 17868304523. The reversal of 17868304512 is 21540386871.

17868304512 is a `hidden beast` number, since 1 + 78 + 68 + 3 + 0 + 4 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14928929856 + 2939374656 = 122184^2 + 54216^2 .

It is a super-2 number, since 2×17868304512² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125568 + ... + 226944.

Almost surely, 2^17868304512 is an apocalyptic number.

17868304512 is a gapful number since it is divisible by the number (12) 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 17868304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28152163710).

17868304512 is an abundant number, since it is smaller than the sum of its proper divisors (38436022908).

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

17868304512 is a wasteful number, since it uses less digits than its factorization.

17868304512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101420 (or 101399 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 17868304512 in words is "seventeen billion, eight hundred sixty-eight million, three hundred four thousand, five hundred twelve".