381578210836729 has 9 divisors (see below), whose sum is σ = 385179800727631. Its totient is φ = 378009988726720.

The previous prime is 381578210836727. The next prime is 381578210836777. The reversal of 381578210836729 is 927638012875183.

The square root of 381578210836729 is 19534027.

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., 365563807596729 + 16014403240000 = 19119723^2 + 4001800^2 .

It is not a de Polignac number, because 381578210836729 - 2¹ = 381578210836727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381578210836727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2090049609 + ... + 2090232169.

Almost surely, 2^{381578210836729} is an apocalyptic number.

381578210836729 is the 19534027-th square number.

381578210836729 is the 9767014-th centered octagonal number.

It is an amenable number.

381578210836729 is a deficient number, since it is larger than the sum of its proper divisors (3601589890902).

381578210836729 is an frugal number, since it uses more digits than its factorization.

381578210836729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365336 (or 182668 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 381578210836729 in words is "three hundred eighty-one trillion, five hundred seventy-eight billion, two hundred ten million, eight hundred thirty-six thousand, seven hundred twenty-nine".