10144127349 has 12 divisors (see below), whose sum is σ = 14654378700. Its totient is φ = 6761943744.

The previous prime is 10144127339. The next prime is 10144127393. The reversal of 10144127349 is 94372144101.

10144127349 is a `hidden beast` number, since 101 + 441 + 2 + 73 + 49 = 666.

10144127349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5993546724 + 4150580625 = 77418^2 + 64425^2 .

It is not a de Polignac number, because 10144127349 - 2⁵ = 10144127317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144127339) 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 11 ways as a sum of consecutive naturals, for example, 17887 + ... + 143555.

It is an arithmetic number, because the mean of its divisors is an integer number (1221198225).

Almost surely, 2^10144127349 is an apocalyptic number.

It is an amenable number.

10144127349 is a deficient number, since it is larger than the sum of its proper divisors (4510251351).

10144127349 is a wasteful number, since it uses less digits than its factorization.

10144127349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134644 (or 134641 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10144127349 in words is "ten billion, one hundred forty-four million, one hundred twenty-seven thousand, three hundred forty-nine".