1144324412361 has 135 divisors (see below), whose sum is σ = 1905826287717. Its totient is φ = 683943212160.

The previous prime is 1144324412333. The next prime is 1144324412411. The reversal of 1144324412361 is 1632144234411.

It is a happy number.

The square root of 1144324412361 is 1069731.

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

1144324412361 is a `hidden beast` number, since 1 + 1 + 4 + 43 + 244 + 12 + 361 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 762207572025 + 382116840336 = 873045^2 + 618156^2 .

It is not a de Polignac number, because 1144324412361 - 2¹⁹ = 1144323888073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144324411361) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5131499496 + ... + 5131499718.

Almost surely, 2^{1144324412361} is an apocalyptic number.

1144324412361 is the 1069731-st square number.

1144324412361 is the 534866-th centered octagonal number.

It is an amenable number.

1144324412361 is a deficient number, since it is larger than the sum of its proper divisors (761501875356).

1144324412361 is an frugal number, since it uses more digits than its factorization.

1144324412361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 280 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Multiplying 1144324412361 by its sum of digits (36), we get a square (41195678844996 = 6418386²).

Adding to 1144324412361 its reverse (1632144234411), we get a palindrome (2776468646772).

The spelling of 1144324412361 in words is "one trillion, one hundred forty-four billion, three hundred twenty-four million, four hundred twelve thousand, three hundred sixty-one".