318137347579968 has 448 divisors, whose sum is σ = 1117002668728320. Its totient is φ = 86893519233024.

The previous prime is 318137347579963. The next prime is 318137347580023. The reversal of 318137347579968 is 869975743731813.

318137347579968 is a `hidden beast` number, since 3 + 1 + 8 + 1 + 3 + 7 + 34 + 7 + 579 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×318137347579968² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (318137347579963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17939080 + ... + 30952952.

Almost surely, 2^{318137347579968} 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 318137347579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558501334364160).

318137347579968 is an abundant number, since it is smaller than the sum of its proper divisors (798865321148352).

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

318137347579968 is a wasteful number, since it uses less digits than its factorization.

318137347579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013991 (or 13013975 counting only the distinct ones).

The product of its digits is 5761082880, while the sum is 81.

The spelling of 318137347579968 in words is "three hundred eighteen trillion, one hundred thirty-seven billion, three hundred forty-seven million, five hundred seventy-nine thousand, nine hundred sixty-eight".