318644468267328 has 1008 divisors, whose sum is σ = 1098730329840000. Its totient is φ = 89801139732480.

The previous prime is 318644468267317. The next prime is 318644468267369. The reversal of 318644468267328 is 823762864446813.

318644468267328 is a `hidden beast` number, since 3 + 1 + 86 + 4 + 4 + 468 + 2 + 67 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (1783627776) is a multiple of the sum of its prime factors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130538494588 + ... + 130538497028.

Almost surely, 2^{318644468267328} 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 318644468267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549365164920000).

318644468267328 is an abundant number, since it is smaller than the sum of its proper divisors (780085861572672).

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

318644468267328 is an frugal number, since it uses more digits than its factorization.

318644468267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3041 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 72.

The spelling of 318644468267328 in words is "three hundred eighteen trillion, six hundred forty-four billion, four hundred sixty-eight million, two hundred sixty-seven thousand, three hundred twenty-eight".