315315318006 has 96 divisors (see below), whose sum is σ = 739552020480. Its totient is φ = 96517697472.

The previous prime is 315315317963. The next prime is 315315318191. The reversal of 315315318006 is 600813513513.

315315318006 is a `hidden beast` number, since 3 + 15 + 31 + 531 + 80 + 0 + 6 = 666.

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, 72869415 + ... + 72873741.

It is an arithmetic number, because the mean of its divisors is an integer number (7703666880).

Almost surely, 2^315315318006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315315318006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369776010240).

315315318006 is an abundant number, since it is smaller than the sum of its proper divisors (424236702474).

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

315315318006 is a wasteful number, since it uses less digits than its factorization.

315315318006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 315315318006 in words is "three hundred fifteen billion, three hundred fifteen million, three hundred eighteen thousand, six".