315226240536000 has 448 divisors, whose sum is σ = 1064504579973120. Its totient is φ = 82157176422400.

The previous prime is 315226240535963. The next prime is 315226240536013. The reversal of 315226240536000 is 635042622513.

It is a self number, because there is not a number n which added to its sum of digits gives 315226240536000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 810837664 + ... + 811226336.

Almost surely, 2^{315226240536000} is an apocalyptic number.

315226240536000 is a gapful number since it is divisible by the number (30) 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 315226240536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532252289986560).

315226240536000 is an abundant number, since it is smaller than the sum of its proper divisors (749278339437120).

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

315226240536000 is a wasteful number, since it uses less digits than its factorization.

315226240536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389469 (or 389449 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 315226240536000 in words is "three hundred fifteen trillion, two hundred twenty-six billion, two hundred forty million, five hundred thirty-six thousand".