315048709264 has 45 divisors (see below), whose sum is σ = 638204798329. Its totient is φ = 150650772800.

The previous prime is 315048709253. The next prime is 315048709291. The reversal of 315048709264 is 462907840513.

It is a happy number.

The square root of 315048709264 is 561292.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 199176549264 + 115872160000 = 446292^2 + 340400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51635814 + ... + 51641914.

It is a 2-persistent number, because it is pandigital, and so is 2⋅315048709264 = 630097418528, but 3⋅315048709264 = 945146127792 is not.

Almost surely, 2^315048709264 is an apocalyptic number.

315048709264 is the 561292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315048709264

315048709264 is an abundant number, since it is smaller than the sum of its proper divisors (323156089065).

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

315048709264 is an frugal number, since it uses more digits than its factorization.

315048709264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12256 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 315048709264 by its sum of digits (49), we get a square (15437386753936 = 3929044²).

The spelling of 315048709264 in words is "three hundred fifteen billion, forty-eight million, seven hundred nine thousand, two hundred sixty-four".