315121869430784 has 504 divisors, whose sum is σ = 734913221882580. Its totient is φ = 134997860155392.

The previous prime is 315121869430783. The next prime is 315121869430793. The reversal of 315121869430784 is 487034968121513.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 2261053542400 + 312860815888384 = 1503680^2 + 17687872^2 .

It is not an unprimeable number, because it can be changed into a prime (315121869430783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29207694062 + ... + 29207704850.

It is a 1-persistent number, because it is pandigital, but 2⋅315121869430784 = 630243738861568 is not.

Almost surely, 2^{315121869430784} is an apocalyptic number.

315121869430784 is a gapful number since it is divisible by the number (34) 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 315121869430784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367456610941290).

315121869430784 is an abundant number, since it is smaller than the sum of its proper divisors (419791352451796).

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

315121869430784 is a wasteful number, since it uses less digits than its factorization.

315121869430784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 62.

The spelling of 315121869430784 in words is "three hundred fifteen trillion, one hundred twenty-one billion, eight hundred sixty-nine million, four hundred thirty thousand, seven hundred eighty-four".