315245100513200 has 360 divisors, whose sum is σ = 913441275485424. Its totient is φ = 103819987814400.

The previous prime is 315245100513197. The next prime is 315245100513257. The reversal of 315245100513200 is 2315001542513.

It is a super-4 number, since 4×315245100513200⁴ (a number of 59 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28620947 + ... + 38074253.

Almost surely, 2^{315245100513200} 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 315245100513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456720637742712).

315245100513200 is an abundant number, since it is smaller than the sum of its proper divisors (598196174972224).

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

315245100513200 is a wasteful number, since it uses less digits than its factorization.

315245100513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453413 (or 9453391 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 315245100513200 in words is "three hundred fifteen trillion, two hundred forty-five billion, one hundred million, five hundred thirteen thousand, two hundred".