382612103983729 has 27 divisors (see below), whose sum is σ = 397985804062731. Its totient is φ = 367819828805520.

The previous prime is 382612103983727. The next prime is 382612103983763. The reversal of 382612103983729 is 927389301216283.

The square root of 382612103983729 is 19560473.

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., 112149476704225 + 270462627279504 = 10590065^2 + 16445748^2 .

It is not a de Polignac number, because 382612103983729 - 2¹ = 382612103983727 is a prime.

It is a super-2 number, since 2×382612103983729² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382612103983727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95200820082 + ... + 95200824100.

Almost surely, 2^{382612103983729} is an apocalyptic number.

382612103983729 is the 19560473-rd square number.

382612103983729 is the 9780237-th centered octagonal number.

It is an amenable number.

382612103983729 is a deficient number, since it is larger than the sum of its proper divisors (15373700079002).

382612103983729 is an frugal number, since it uses more digits than its factorization.

382612103983729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

The spelling of 382612103983729 in words is "three hundred eighty-two trillion, six hundred twelve billion, one hundred three million, nine hundred eighty-three thousand, seven hundred twenty-nine".