1597827458704 has 135 divisors (see below), whose sum is σ = 3411240484561. Its totient is φ = 724857978880.

The previous prime is 1597827458639. The next prime is 1597827458713. The reversal of 1597827458704 is 4078547287951.

The square root of 1597827458704 is 1264052.

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 10112400 + 1597817346304 = 3180^2 + 1264048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1597827458704.

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, 2492710224 + ... + 2492710864.

Almost surely, 2^{1597827458704} is an apocalyptic number.

1597827458704 is the 1264052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1597827458704

1597827458704 is an abundant number, since it is smaller than the sum of its proper divisors (1813413025857).

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

1597827458704 is an frugal number, since it uses more digits than its factorization.

1597827458704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 67.

The spelling of 1597827458704 in words is "one trillion, five hundred ninety-seven billion, eight hundred twenty-seven million, four hundred fifty-eight thousand, seven hundred four".