315304323152000 has 512 divisors, whose sum is σ = 966007234483200. Its totient is φ = 99666992332800.

The previous prime is 315304323151997. The next prime is 315304323152029. The reversal of 315304323152000 is 251323403513.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 63 ways as a sum of consecutive naturals, for example, 1198156436 + ... + 1198419564.

It is an arithmetic number, because the mean of its divisors is an integer number (1886732879850).

Almost surely, 2^{315304323152000} 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 315304323152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483003617241600).

315304323152000 is an abundant number, since it is smaller than the sum of its proper divisors (650702911331200).

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

315304323152000 is a wasteful number, since it uses less digits than its factorization.

315304323152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264001 (or 263979 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 315304323152000 its reverse (251323403513), we get a palindrome (315555646555513).

The spelling of 315304323152000 in words is "three hundred fifteen trillion, three hundred four billion, three hundred twenty-three million, one hundred fifty-two thousand".