1356966382321 has 9 divisors (see below), whose sum is σ = 1491555645433. Its totient is φ = 1233594153220.

The previous prime is 1356966382313. The next prime is 1356966382327. The reversal of 1356966382321 is 1232836696531.

The square root of 1356966382321 is 1164889.

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

It is not a de Polignac number, because 1356966382321 - 2³ = 1356966382313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1356966382327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12760830 + ... + 12866728.

Almost surely, 2^{1356966382321} is an apocalyptic number.

1356966382321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1356966382321 is the 1164889-th square number.

1356966382321 is the 582445-th centered octagonal number.

It is an amenable number.

1356966382321 is a deficient number, since it is larger than the sum of its proper divisors (134589263112).

1356966382321 is an frugal number, since it uses more digits than its factorization.

1356966382321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211820 (or 105910 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 55.

The spelling of 1356966382321 in words is "one trillion, three hundred fifty-six billion, nine hundred sixty-six million, three hundred eighty-two thousand, three hundred twenty-one".