1115171317000 has 256 divisors, whose sum is σ = 2890884971520. Its totient is φ = 400102272000.

The previous prime is 1115171316997. The next prime is 1115171317027. The reversal of 1115171317000 is 7131715111.

It is a super-3 number, since 3×1115171317000³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1115171317000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65810529 + ... + 65827471.

It is an arithmetic number, because the mean of its divisors is an integer number (11292519420).

Almost surely, 2^{1115171317000} is an apocalyptic number.

1115171317000 is a gapful number since it is divisible by the number (10) 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 1115171317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445442485760).

1115171317000 is an abundant number, since it is smaller than the sum of its proper divisors (1775713654520).

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

1115171317000 is a wasteful number, since it uses less digits than its factorization.

1115171317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121 (or 17107 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 28.

The spelling of 1115171317000 in words is "one trillion, one hundred fifteen billion, one hundred seventy-one million, three hundred seventeen thousand".