1144859340361 has 27 divisors (see below), whose sum is σ = 1267140015687. Its totient is φ = 1033601646000.

The previous prime is 1144859340299. The next prime is 1144859340371. The reversal of 1144859340361 is 1630439584411.

The square root of 1144859340361 is 1069981.

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., 366970619961 + 777888720400 = 605781^2 + 881980^2 .

It is not a de Polignac number, because 1144859340361 - 2²⁹ = 1144322469449 is a prime.

It is a super-2 number, since 2×1144859340361² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1144859340371) 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, 2483425671 + ... + 2483426131.

Almost surely, 2^{1144859340361} is an apocalyptic number.

1144859340361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1144859340361 is the 1069981-st square number.

1144859340361 is the 534991-st centered octagonal number.

It is an amenable number.

1144859340361 is a deficient number, since it is larger than the sum of its proper divisors (122280675326).

1144859340361 is an frugal number, since it uses more digits than its factorization.

1144859340361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 1144859340361 by its sum of digits (49), we get a square (56098107677689 = 7489867²).

The spelling of 1144859340361 in words is "one trillion, one hundred forty-four billion, eight hundred fifty-nine million, three hundred forty thousand, three hundred sixty-one".