315382741344 has 384 divisors, whose sum is σ = 1036222709760. Its totient is φ = 92490854400.

The previous prime is 315382741313. The next prime is 315382741363. The reversal of 315382741344 is 443147283513.

It is a happy number.

315382741344 is a `hidden beast` number, since 3 + 1 + 5 + 38 + 274 + 1 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 315382741344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49484142 + ... + 49490514.

It is an arithmetic number, because the mean of its divisors is an integer number (2698496640).

Almost surely, 2^315382741344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315382741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518111354880).

315382741344 is an abundant number, since it is smaller than the sum of its proper divisors (720839968416).

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

315382741344 is a wasteful number, since it uses less digits than its factorization.

315382741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571 (or 6557 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 315382741344 in words is "three hundred fifteen billion, three hundred eighty-two million, seven hundred forty-one thousand, three hundred forty-four".