318617471442816 has 2304 divisors, whose sum is σ = 1236629350320000. Its totient is φ = 78180418584576.

The previous prime is 318617471442773. The next prime is 318617471442833. The reversal of 318617471442816 is 618244174716813.

318617471442816 is a `hidden beast` number, since 3 + 1 + 8 + 6 + 174 + 7 + 1 + 442 + 8 + 16 = 666.

It is a super-2 number, since 2×318617471442816² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 100541958480 + ... + 100541961648.

Almost surely, 2^{318617471442816} is an apocalyptic number.

318617471442816 is a gapful number since it is divisible by the number (36) 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 318617471442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618314675160000).

318617471442816 is an abundant number, since it is smaller than the sum of its proper divisors (918011878877184).

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

318617471442816 is a wasteful number, since it uses less digits than its factorization.

318617471442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3254 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 318617471442816 in words is "three hundred eighteen trillion, six hundred seventeen billion, four hundred seventy-one million, four hundred forty-two thousand, eight hundred sixteen".