17328117352 has 192 divisors, whose sum is σ = 43257186000. Its totient is φ = 6437781504.

The previous prime is 17328117343. The next prime is 17328117377. The reversal of 17328117352 is 25371182371.

It can be written as a sum of positive squares in 8 ways, for example, as 12390806596 + 4937310756 = 111314^2 + 70266^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5466424 + ... + 5469592.

Almost surely, 2^17328117352 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 17328117352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628593000).

17328117352 is an abundant number, since it is smaller than the sum of its proper divisors (25929068648).

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

17328117352 is a wasteful number, since it uses less digits than its factorization.

17328117352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3257 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The spelling of 17328117352 in words is "seventeen billion, three hundred twenty-eight million, one hundred seventeen thousand, three hundred fifty-two".