1144508413489 has 21 divisors (see below), whose sum is σ = 1335686436217. Its totient is φ = 980692685364.

The previous prime is 1144508413483. The next prime is 1144508413547. The reversal of 1144508413489 is 9843148054411.

It is a happy number.

The square root of 1144508413489 is 1069817.

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

It is not a de Polignac number, because 1144508413489 - 2¹⁹ = 1144507889201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144508413483) 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 20 ways as a sum of consecutive naturals, for example, 366945672 + ... + 366948790.

Almost surely, 2^{1144508413489} is an apocalyptic number.

1144508413489 is the 1069817-th square number.

1144508413489 is the 534909-th centered octagonal number.

It is an amenable number.

1144508413489 is a deficient number, since it is larger than the sum of its proper divisors (191178022728).

1144508413489 is an frugal number, since it uses more digits than its factorization.

1144508413489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 1144508413489 in words is "one trillion, one hundred forty-four billion, five hundred eight million, four hundred thirteen thousand, four hundred eighty-nine".