2144253311505 has 80 divisors (see below), whose sum is σ = 3867034835664. Its totient is φ = 1136691118080.

The previous prime is 2144253311479. The next prime is 2144253311509. The reversal of 2144253311505 is 5051133524412.

2144253311505 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 533 + 115 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37525888656 + 2106727422849 = 193716^2 + 1451457^2 .

It is not a de Polignac number, because 2144253311505 - 2¹⁸ = 2144253049361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2144253311505.

It is not an unprimeable number, because it can be changed into a prime (2144253311509) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95115535 + ... + 95138075.

Almost surely, 2^{2144253311505} is an apocalyptic number.

It is an amenable number.

2144253311505 is a deficient number, since it is larger than the sum of its proper divisors (1722781524159).

2144253311505 is a wasteful number, since it uses less digits than its factorization.

2144253311505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23968 (or 23959 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 2144253311505 its reverse (5051133524412), we get a palindrome (7195386835917).

The spelling of 2144253311505 in words is "two trillion, one hundred forty-four billion, two hundred fifty-three million, three hundred eleven thousand, five hundred five".