2144728031121 has 45 divisors (see below), whose sum is σ = 3469538110401. Its totient is φ = 1319727191328.

The previous prime is 2144728031051. The next prime is 2144728031137. The reversal of 2144728031121 is 1211308274412.

The square root of 2144728031121 is 1464489.

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

2144728031121 is a `hidden beast` number, since 2 + 1 + 4 + 47 + 280 + 311 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44083621521 + 2100644409600 = 209961^2 + 1449360^2 .

It is not a de Polignac number, because 2144728031121 - 2⁹ = 2144728030609 is a prime.

It is a super-2 number, since 2×2144728031121² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2144728031321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 171338955 + ... + 171351471.

Almost surely, 2^{2144728031121} is an apocalyptic number.

2144728031121 is the 1464489-th square number.

2144728031121 is the 732245-th centered octagonal number.

It is an amenable number.

2144728031121 is a deficient number, since it is larger than the sum of its proper divisors (1324810079280).

2144728031121 is an frugal number, since it uses more digits than its factorization.

2144728031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25072 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 2144728031121 by its sum of digits (36), we get a square (77210209120356 = 8786934²).

The spelling of 2144728031121 in words is "two trillion, one hundred forty-four billion, seven hundred twenty-eight million, thirty-one thousand, one hundred twenty-one".