1846149930361 has 27 divisors (see below), whose sum is σ = 2045416964493. Its totient is φ = 1665043316640.

The previous prime is 1846149930341. The next prime is 1846149930397. The reversal of 1846149930361 is 1630399416481.

The square root of 1846149930361 is 1358731.

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 229183370361 + 1616966560000 = 478731^2 + 1271600^2 .

It is not a de Polignac number, because 1846149930361 - 2¹¹ = 1846149928313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1846149930311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2226959695 + ... + 2226960523.

Almost surely, 2^{1846149930361} is an apocalyptic number.

1846149930361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1846149930361 is the 1358731-st square number.

1846149930361 is the 679366-th centered octagonal number.

It is an amenable number.

1846149930361 is a deficient number, since it is larger than the sum of its proper divisors (199267034132).

1846149930361 is an frugal number, since it uses more digits than its factorization.

1846149930361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 1846149930361 in words is "one trillion, eight hundred forty-six billion, one hundred forty-nine million, nine hundred thirty thousand, three hundred sixty-one".