315375422208 has 1296 divisors, whose sum is σ = 1193191050240. Its totient is φ = 72114831360.

The previous prime is 315375422179. The next prime is 315375422221. The reversal of 315375422208 is 802224573513.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 315375422208.

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 143 ways as a sum of consecutive naturals, for example, 3992093913 + ... + 3992093991.

Almost surely, 2^315375422208 is an apocalyptic number.

315375422208 is a gapful number since it is divisible by the number (38) 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 315375422208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596595525120).

315375422208 is an abundant number, since it is smaller than the sum of its proper divisors (877815628032).

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

315375422208 is a wasteful number, since it uses less digits than its factorization.

315375422208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 315375422208 in words is "three hundred fifteen billion, three hundred seventy-five million, four hundred twenty-two thousand, two hundred eight".