10438549968 has 360 divisors, whose sum is σ = 35323093344. Its totient is φ = 2645153280.

The previous prime is 10438549963. The next prime is 10438549993. The reversal of 10438549968 is 86994583401.

10438549968 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 (10438549963) 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 71 ways as a sum of consecutive naturals, for example, 12237030 + ... + 12237882.

Almost surely, 2^10438549968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438549968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17661546672).

10438549968 is an abundant number, since it is smaller than the sum of its proper divisors (24884543376).

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

10438549968 is a wasteful number, since it uses less digits than its factorization.

10438549968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 10438549968 in words is "ten billion, four hundred thirty-eight million, five hundred forty-nine thousand, nine hundred sixty-eight".