10144456406 has 64 divisors (see below), whose sum is σ = 18985881600. Its totient is φ = 3970602240.

The previous prime is 10144456403. The next prime is 10144456417. The reversal of 10144456406 is 60465444101.

10144456406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144456403) 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 31 ways as a sum of consecutive naturals, for example, 612320 + ... + 628668.

It is an arithmetic number, because the mean of its divisors is an integer number (296654400).

Almost surely, 2^10144456406 is an apocalyptic number.

10144456406 is a deficient number, since it is larger than the sum of its proper divisors (8841425194).

10144456406 is a wasteful number, since it uses less digits than its factorization.

10144456406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16469.

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 10144456406 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, four hundred six".