318648086280 has 192 divisors, whose sum is σ = 1071365246640. Its totient is φ = 82072313856.

The previous prime is 318648086261. The next prime is 318648086303. The reversal of 318648086280 is 82680846813.

318648086280 is a `hidden beast` number, since 3 + 1 + 8 + 6 + 4 + 8 + 0 + 8 + 628 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 208982465316 + 109665620964 = 457146^2 + 331158^2 .

It is a super-3 number, since 3×318648086280³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1737532 + ... + 1912148.

Almost surely, 2^318648086280 is an apocalyptic number.

318648086280 is a gapful number since it is divisible by the number (30) 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 318648086280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535682623320).

318648086280 is an abundant number, since it is smaller than the sum of its proper divisors (752717160360).

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

318648086280 is a wasteful number, since it uses less digits than its factorization.

318648086280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174808 (or 174801 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 318648086280 in words is "three hundred eighteen billion, six hundred forty-eight million, eighty-six thousand, two hundred eighty".