315387338112 has 1152 divisors, whose sum is σ = 1198960289280. Its totient is φ = 78640128000.

The previous prime is 315387338111. The next prime is 315387338177. The reversal of 315387338112 is 211833783513.

315387338112 is a `hidden beast` number, since 3 + 1 + 538 + 7 + 33 + 81 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315387338111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2947545163 + ... + 2947545269.

It is an arithmetic number, because the mean of its divisors is an integer number (1040764140).

Almost surely, 2^315387338112 is an apocalyptic number.

315387338112 is a gapful number since it is divisible by the number (32) 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 315387338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599480144640).

315387338112 is an abundant number, since it is smaller than the sum of its proper divisors (883572951168).

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

315387338112 is a wasteful number, since it uses less digits than its factorization.

315387338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 315387338112 in words is "three hundred fifteen billion, three hundred eighty-seven million, three hundred thirty-eight thousand, one hundred twelve".