144601611051681 has 135 divisors (see below), whose sum is σ = 245572215881811. Its totient is φ = 81988076342592.

The previous prime is 144601611051661. The next prime is 144601611051683. The reversal of 144601611051681 is 186150116106441.

The square root of 144601611051681 is 12025041.

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

144601611051681 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 0 + 16 + 110 + 516 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125060048150625 + 19541562901056 = 11183025^2 + 4420584^2 .

It is not a de Polignac number, because 144601611051681 - 2¹¹ = 144601611049633 is a prime.

It is a super-2 number, since 2×144601611051681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144601611051683) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 316414903605 + ... + 316414904061.

Almost surely, 2^{144601611051681} is an apocalyptic number.

144601611051681 is the 12025041-st square number.

144601611051681 is the 6012521-st centered octagonal number.

It is an amenable number.

144601611051681 is a deficient number, since it is larger than the sum of its proper divisors (100970604830130).

144601611051681 is an frugal number, since it uses more digits than its factorization.

144601611051681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 144601611051681 in words is "one hundred forty-four trillion, six hundred one billion, six hundred eleven million, fifty-one thousand, six hundred eighty-one".