318785328960 has 336 divisors, whose sum is σ = 1180563917760. Its totient is φ = 72668897280.

The previous prime is 318785328949. The next prime is 318785328989. The reversal of 318785328960 is 69823587813.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 318785328894 and 318785328903.

It is a congruent number.

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, 17819220 + ... + 17837100.

Almost surely, 2^318785328960 is an apocalyptic number.

318785328960 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 318785328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590281958880).

318785328960 is an abundant number, since it is smaller than the sum of its proper divisors (861778588800).

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

318785328960 is a wasteful number, since it uses less digits than its factorization.

318785328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294 (or 18277 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 318785328960 in words is "three hundred eighteen billion, seven hundred eighty-five million, three hundred twenty-eight thousand, nine hundred sixty".