315741380258304 has 6400 divisors, whose sum is σ = 1416093364224000. Its totient is φ = 67335133593600.

The previous prime is 315741380258299. The next prime is 315741380258321. The reversal of 315741380258304 is 403852083147513.

315741380258304 is a `hidden beast` number, since 3 + 1 + 5 + 7 + 4 + 1 + 3 + 80 + 258 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 904703095122 + ... + 904703095470.

It is an arithmetic number, because the mean of its divisors is an integer number (221264588160).

Almost surely, 2^{315741380258304} 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 315741380258304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708046682112000).

315741380258304 is an abundant number, since it is smaller than the sum of its proper divisors (1100351983965696).

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

315741380258304 is a wasteful number, since it uses less digits than its factorization.

315741380258304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 315741380258304 in words is "three hundred fifteen trillion, seven hundred forty-one billion, three hundred eighty million, two hundred fifty-eight thousand, three hundred four".