1331672148361 has 9 divisors (see below), whose sum is σ = 1354694679181. Its totient is φ = 1309034503084.

The previous prime is 1331672148349. The next prime is 1331672148421. The reversal of 1331672148361 is 1638412761331.

It is a happy number.

The square root of 1331672148361 is 1153981.

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

It is not a de Polignac number, because 1331672148361 - 2²⁹ = 1331135277449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331672148461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68075100 + ... + 68094658.

Almost surely, 2^{1331672148361} is an apocalyptic number.

1331672148361 is the 1153981-st square number.

1331672148361 is the 576991-st centered octagonal number.

It is an amenable number.

1331672148361 is a deficient number, since it is larger than the sum of its proper divisors (23022530820).

1331672148361 is an frugal number, since it uses more digits than its factorization.

1331672148361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39236 (or 19618 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The spelling of 1331672148361 in words is "one trillion, three hundred thirty-one billion, six hundred seventy-two million, one hundred forty-eight thousand, three hundred sixty-one".