318242814000 has 320 divisors, whose sum is σ = 1045718069760. Its totient is φ = 83241600000.

The previous prime is 318242813963. The next prime is 318242814013. The reversal of 318242814000 is 418242813.

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 63 ways as a sum of consecutive naturals, for example, 244613350 + ... + 244614650.

It is an arithmetic number, because the mean of its divisors is an integer number (3267868968).

Almost surely, 2^318242814000 is an apocalyptic number.

318242814000 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 318242814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522859034880).

318242814000 is an abundant number, since it is smaller than the sum of its proper divisors (727475255760).

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

318242814000 is a wasteful number, since it uses less digits than its factorization.

318242814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 318242814000 in words is "three hundred eighteen billion, two hundred forty-two million, eight hundred fourteen thousand".