315504133594272 has 2304 divisors, whose sum is σ = 1198455027194880. Its totient is φ = 76572839116800.

The previous prime is 315504133594249. The next prime is 315504133594319. The reversal of 315504133594272 is 272495331405513.

315504133594272 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 0 + 4 + 13 + 359 + 4 + 272 = 666.

It is a super-2 number, since 2×315504133594272² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 414591502372 + ... + 414591503132.

It is an arithmetic number, because the mean of its divisors is an integer number (520162772220).

Almost surely, 2^{315504133594272} is an apocalyptic number.

315504133594272 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 315504133594272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599227513597440).

315504133594272 is an abundant number, since it is smaller than the sum of its proper divisors (882950893600608).

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

315504133594272 is a wasteful number, since it uses less digits than its factorization.

315504133594272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

Adding to 315504133594272 its reverse (272495331405513), we get a palindrome (587999464999785).

The spelling of 315504133594272 in words is "three hundred fifteen trillion, five hundred four billion, one hundred thirty-three million, five hundred ninety-four thousand, two hundred seventy-two".