318168280080 has 240 divisors, whose sum is σ = 1223340094080. Its totient is φ = 72594358272.

The previous prime is 318168280049. The next prime is 318168280099. The reversal of 318168280080 is 80082861813.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2781456 + ... + 2893584.

It is an arithmetic number, because the mean of its divisors is an integer number (5097250392).

Almost surely, 2^318168280080 is an apocalyptic number.

318168280080 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 318168280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611670047040).

318168280080 is an abundant number, since it is smaller than the sum of its proper divisors (905171814000).

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

318168280080 is a wasteful number, since it uses less digits than its factorization.

318168280080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112718 (or 112709 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 318168280080 in words is "three hundred eighteen billion, one hundred sixty-eight million, two hundred eighty thousand, eighty".