10144430667 has 24 divisors (see below), whose sum is σ = 16749555680. Its totient is φ = 5795712000.

The previous prime is 10144430651. The next prime is 10144430687. The reversal of 10144430667 is 76603444101.

It is not a de Polignac number, because 10144430667 - 2⁴ = 10144430651 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10144430687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410667 + ... + 434667.

Almost surely, 2^10144430667 is an apocalyptic number.

10144430667 is a deficient number, since it is larger than the sum of its proper divisors (6605125013).

10144430667 is a wasteful number, since it uses less digits than its factorization.

10144430667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30723 (or 30720 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 10144430667 its reverse (76603444101), we get a palindrome (86747874768).

The spelling of 10144430667 in words is "ten billion, one hundred forty-four million, four hundred thirty thousand, six hundred sixty-seven".