318795428217000 has 256 divisors, whose sum is σ = 1136904260544000. Its totient is φ = 72856574668800.

The previous prime is 318795428216983. The next prime is 318795428217089. The reversal of 318795428217000 is 712824597813.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138995526 + ... + 141270474.

It is an arithmetic number, because the mean of its divisors is an integer number (4441032267750).

Almost surely, 2^{318795428217000} is an apocalyptic number.

318795428217000 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 318795428217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568452130272000).

318795428217000 is an abundant number, since it is smaller than the sum of its proper divisors (818108832327000).

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

318795428217000 is a wasteful number, since it uses less digits than its factorization.

318795428217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281653 (or 2281639 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 318795428217000 in words is "three hundred eighteen trillion, seven hundred ninety-five billion, four hundred twenty-eight million, two hundred seventeen thousand".