1317975168 has 128 divisors (see below), whose sum is σ = 3683750400. Its totient is φ = 416931840.

The previous prime is 1317975163. The next prime is 1317975193. The reversal of 1317975168 is 8615797131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1317975163) 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 15 ways as a sum of consecutive naturals, for example, 629868 + ... + 631956.

It is an arithmetic number, because the mean of its divisors is an integer number (28779300).

Almost surely, 2^1317975168 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 1317975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841875200).

1317975168 is an abundant number, since it is smaller than the sum of its proper divisors (2365775232).

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

1317975168 is a wasteful number, since it uses less digits than its factorization.

1317975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2178 counting only the distinct ones).

The product of its digits is 317520, while the sum is 48.

The square root of 1317975168 is about 36303.9277213912. The cubic root of 1317975168 is about 1096.4001238551.

The spelling of 1317975168 in words is "one billion, three hundred seventeen million, nine hundred seventy-five thousand, one hundred sixty-eight".