1380904664161 has 27 divisors (see below), whose sum is σ = 1527188852217. Its totient is φ = 1247694349440.

The previous prime is 1380904664149. The next prime is 1380904664189. The reversal of 1380904664161 is 1614664090831.

The square root of 1380904664161 is 1175119.

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

It can be written as a sum of positive squares in 4 ways, for example, as 691174414161 + 689730250000 = 831369^2 + 830500^2 .

It is not a de Polignac number, because 1380904664161 - 2¹⁹ = 1380904139873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1380904664561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4097639785 + ... + 4097640121.

Almost surely, 2^{1380904664161} is an apocalyptic number.

1380904664161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1380904664161 is the 1175119-th square number.

1380904664161 is the 587560-th centered octagonal number.

It is an amenable number.

1380904664161 is a deficient number, since it is larger than the sum of its proper divisors (146284188056).

1380904664161 is an frugal number, since it uses more digits than its factorization.

1380904664161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 1380904664161 by its sum of digits (49), we get a square (67664328543889 = 8225833²).

The spelling of 1380904664161 in words is "one trillion, three hundred eighty billion, nine hundred four million, six hundred sixty-four thousand, one hundred sixty-one".