1844009191249 has 45 divisors (see below), whose sum is σ = 2061551858331. Its totient is φ = 1649085979200.

The previous prime is 1844009191243. The next prime is 1844009191259. The reversal of 1844009191249 is 9421919004481.

It is a happy number.

The square root of 1844009191249 is 1357943.

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., 1435647294225 + 408361897024 = 1198185^2 + 639032^2 .

It is not a de Polignac number, because 1844009191249 - 2¹¹ = 1844009189201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1844009191196 and 1844009191205.

It is not an unprimeable number, because it can be changed into a prime (1844009191243) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12211981324 + ... + 12211981474.

Almost surely, 2^{1844009191249} is an apocalyptic number.

1844009191249 is the 1357943-rd square number.

1844009191249 is the 678972-nd centered octagonal number.

It is an amenable number.

1844009191249 is a deficient number, since it is larger than the sum of its proper divisors (217542667082).

1844009191249 is an frugal number, since it uses more digits than its factorization.

1844009191249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 1844009191249 in words is "one trillion, eight hundred forty-four billion, nine million, one hundred ninety-one thousand, two hundred forty-nine".