318926648767104 has 960 divisors, whose sum is σ = 1080428482434600. Its totient is φ = 90292811857920.

The previous prime is 318926648767063. The next prime is 318926648767109. The reversal of 318926648767104 is 401767846629813.

318926648767104 is a `hidden beast` number, since 3 + 1 + 89 + 2 + 6 + 6 + 487 + 67 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 302722417166400 + 16204231600704 = 17398920^2 + 4025448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (318926648767109) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 147582899784 + ... + 147582901944.

Almost surely, 2^{318926648767104} 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 318926648767104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540214241217300).

318926648767104 is an abundant number, since it is smaller than the sum of its proper divisors (761501833667496).

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

318926648767104 is a wasteful number, since it uses less digits than its factorization.

318926648767104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 318926648767104 in words is "three hundred eighteen trillion, nine hundred twenty-six billion, six hundred forty-eight million, seven hundred sixty-seven thousand, one hundred four".