1314572316304 has 135 divisors (see below), whose sum is σ = 2932014309777. Its totient is φ = 570595663872.

The previous prime is 1314572316271. The next prime is 1314572316313. The reversal of 1314572316304 is 4036132754131.

It is a happy number.

The square root of 1314572316304 is 1146548.

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

It can be written as a sum of positive squares in 13 ways, for example, as 29632179600 + 1284940136704 = 172140^2 + 1133552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1013547784 + ... + 1013549080.

Almost surely, 2^{1314572316304} is an apocalyptic number.

1314572316304 is the 1146548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314572316304

1314572316304 is an abundant number, since it is smaller than the sum of its proper divisors (1617441993473).

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

1314572316304 is an equidigital number, since it uses as much as digits as its factorization.

1314572316304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 1314572316304 in words is "one trillion, three hundred fourteen billion, five hundred seventy-two million, three hundred sixteen thousand, three hundred four".