315338848704 has 336 divisors, whose sum is σ = 999523324800. Its totient is φ = 94258944000.

The previous prime is 315338848681. The next prime is 315338848711. The reversal of 315338848704 is 407848833513.

It is a happy number.

315338848704 is a `hidden beast` number, since 3 + 153 + 3 + 8 + 8 + 487 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150231847 + ... + 150233945.

It is an arithmetic number, because the mean of its divisors is an integer number (2974771800).

Almost surely, 2^315338848704 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 315338848704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499761662400).

315338848704 is an abundant number, since it is smaller than the sum of its proper divisors (684184476096).

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

315338848704 is a wasteful number, since it uses less digits than its factorization.

315338848704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 315338848704 in words is "three hundred fifteen billion, three hundred thirty-eight million, eight hundred forty-eight thousand, seven hundred four".