1668295140625 has 21 divisors (see below), whose sum is σ = 2085544066413. Its totient is φ = 1334506950000.

The previous prime is 1668295140601. The next prime is 1668295140719. The reversal of 1668295140625 is 5260415928661.

It is a happy number.

The square root of 1668295140625 is 1291625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1616007915729 + 52287224896 = 1271223^2 + 228664^2 .

It is not a de Polignac number, because 1668295140625 - 2¹¹ = 1668295138577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 161447959 + ... + 161458291.

Almost surely, 2^{1668295140625} is an apocalyptic number.

1668295140625 is the 1291625-th square number.

1668295140625 is the 645813-rd centered octagonal number.

It is an amenable number.

1668295140625 is a deficient number, since it is larger than the sum of its proper divisors (417248925788).

1668295140625 is an frugal number, since it uses more digits than its factorization.

1668295140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20696 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 1668295140625 in words is "one trillion, six hundred sixty-eight billion, two hundred ninety-five million, one hundred forty thousand, six hundred twenty-five".