1481266687329 has 81 divisors (see below), whose sum is σ = 2547521534649. Its totient is φ = 828388566720.

The previous prime is 1481266687291. The next prime is 1481266687363. The reversal of 1481266687329 is 9237866621841.

The square root of 1481266687329 is 1217073.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1035149560929 + 446117126400 = 1017423^2 + 667920^2 .

It is not a de Polignac number, because 1481266687329 - 2⁹ = 1481266686817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1481266687729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 522122899 + ... + 522125735.

Almost surely, 2^{1481266687329} is an apocalyptic number.

1481266687329 is the 1217073-rd square number.

1481266687329 is the 608537-th centered octagonal number.

It is an amenable number.

1481266687329 is a deficient number, since it is larger than the sum of its proper divisors (1066254847320).

1481266687329 is an equidigital number, since it uses as much as digits as its factorization.

1481266687329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 2864 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 1481266687329 in words is "one trillion, four hundred eighty-one billion, two hundred sixty-six million, six hundred eighty-seven thousand, three hundred twenty-nine".