144022527009 has 45 divisors (see below), whose sum is σ = 217366447683. Its totient is φ = 95033623248.

The previous prime is 144022526971. The next prime is 144022527031. The reversal of 144022527009 is 900725220441.

The square root of 144022527009 is 379503.

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., 16873230609 + 127149296400 = 129897^2 + 356580^2 .

It is not a de Polignac number, because 144022527009 - 2⁹ = 144022526497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144022527809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 508913382 + ... + 508913664.

Almost surely, 2^144022527009 is an apocalyptic number.

144022527009 is the 379503-rd square number.

144022527009 is the 189752-nd centered octagonal number.

It is an amenable number.

144022527009 is a deficient number, since it is larger than the sum of its proper divisors (73343920674).

144022527009 is an frugal number, since it uses more digits than its factorization.

144022527009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 144022527009 by its sum of digits (36), we get a square (5184810972324 = 2277018²).

The spelling of 144022527009 in words is "one hundred forty-four billion, twenty-two million, five hundred twenty-seven thousand, nine".