1346405160409 has 9 divisors (see below), whose sum is σ = 1349413678431. Its totient is φ = 1343403342720.

The previous prime is 1346405160407. The next prime is 1346405160449. The reversal of 1346405160409 is 9040615046431.

The square root of 1346405160409 is 1160347.

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

It can be written as a sum of positive squares in only one way, i.e., 1337087505625 + 9317654784 = 1156325^2 + 96528^2 .

It is not a de Polignac number, because 1346405160409 - 2¹ = 1346405160407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1346405160407) 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, 669519214 + ... + 669521224.

It is an arithmetic number, because the mean of its divisors is an integer number (149934853159).

Almost surely, 2^{1346405160409} is an apocalyptic number.

1346405160409 is the 1160347-th square number.

1346405160409 is the 580174-th centered octagonal number.

It is an amenable number.

1346405160409 is a deficient number, since it is larger than the sum of its proper divisors (3008518022).

1346405160409 is an frugal number, since it uses more digits than its factorization.

1346405160409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 1346405160409 in words is "one trillion, three hundred forty-six billion, four hundred five million, one hundred sixty thousand, four hundred nine".