318427753355712 has 2016 divisors, whose sum is σ = 1314778852767744. Its totient is φ = 75093167923200.

The previous prime is 318427753355669. The next prime is 318427753355717. The reversal of 318427753355712 is 217553357724813.

318427753355712 is a `hidden beast` number, since 3 + 1 + 8 + 4 + 2 + 7 + 7 + 53 + 3 + 5 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

Its product of digits (148176000) is a multiple of the sum of its prime divisors (48000).

It is a self number, because there is not a number n which added to its sum of digits gives 318427753355712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318427753355717) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6647320753 + ... + 6647368655.

It is an arithmetic number, because the mean of its divisors is an integer number (652172049984).

Almost surely, 2^{318427753355712} is an apocalyptic number.

318427753355712 is a gapful number since it is divisible by the number (32) 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 318427753355712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657389426383872).

318427753355712 is an abundant number, since it is smaller than the sum of its proper divisors (996351099412032).

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

318427753355712 is a wasteful number, since it uses less digits than its factorization.

318427753355712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48029 (or 48000 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 318427753355712 in words is "three hundred eighteen trillion, four hundred twenty-seven billion, seven hundred fifty-three million, three hundred fifty-five thousand, seven hundred twelve".