315232424003200 has 192 divisors, whose sum is σ = 849533519812320. Its totient is φ = 114627549081600.

The previous prime is 315232424003197. The next prime is 315232424003353. The reversal of 315232424003200 is 2300424232513.

It is a super-2 number, since 2×315232424003200² (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 23 ways as a sum of consecutive naturals, for example, 3252889147 + ... + 3252986053.

Almost surely, 2^{315232424003200} 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 315232424003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424766759906160).

315232424003200 is an abundant number, since it is smaller than the sum of its proper divisors (534301095809120).

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

315232424003200 is a wasteful number, since it uses less digits than its factorization.

315232424003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189355 (or 189338 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 315232424003200 its reverse (2300424232513), we get a palindrome (317532848235713).

The spelling of 315232424003200 in words is "three hundred fifteen trillion, two hundred thirty-two billion, four hundred twenty-four million, three thousand, two hundred".