10144133664 has 72 divisors (see below), whose sum is σ = 30975851088. Its totient is φ = 2898322560.

The previous prime is 10144133641. The next prime is 10144133669. The reversal of 10144133664 is 46633144101.

It is not an unprimeable number, because it can be changed into a prime (10144133669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1073542 + ... + 1082949.

It is an arithmetic number, because the mean of its divisors is an integer number (430220154).

Almost surely, 2^10144133664 is an apocalyptic number.

10144133664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10144133664 is an abundant number, since it is smaller than the sum of its proper divisors (20831717424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10144133664 is a wasteful number, since it uses less digits than its factorization.

10144133664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156518 (or 2156503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 10144133664 its reverse (46633144101), we get a palindrome (56777277765).

The spelling of 10144133664 in words is "ten billion, one hundred forty-four million, one hundred thirty-three thousand, six hundred sixty-four".