1382724347449 has 27 divisors (see below), whose sum is σ = 1431246755343. Its totient is φ = 1335833262288.

The previous prime is 1382724347437. The next prime is 1382724347453. The reversal of 1382724347449 is 9447434272831.

The square root of 1382724347449 is 1175893.

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., 1354791242025 + 27933105424 = 1163955^2 + 167132^2 .

It is not a de Polignac number, because 1382724347449 - 2¹⁹ = 1382723823161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1382724347393 and 1382724347402.

It is not an unprimeable number, because it can be changed into a prime (1382724347429) 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 26 ways as a sum of consecutive naturals, for example, 7018905219 + ... + 7018905415.

Almost surely, 2^{1382724347449} is an apocalyptic number.

1382724347449 is the 1175893-rd square number.

1382724347449 is the 587947-th centered octagonal number.

It is an amenable number.

1382724347449 is a deficient number, since it is larger than the sum of its proper divisors (48522407894).

1382724347449 is an frugal number, since it uses more digits than its factorization.

1382724347449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 58.

The spelling of 1382724347449 in words is "one trillion, three hundred eighty-two billion, seven hundred twenty-four million, three hundred forty-seven thousand, four hundred forty-nine".