10938833172 has 36 divisors (see below), whose sum is σ = 27936009556. Its totient is φ = 3608686080.

The previous prime is 10938833149. The next prime is 10938833219. The reversal of 10938833172 is 27133883901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4728762756 + 6210070416 = 68766^2 + 78804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1562779 + ... + 1569762.

Almost surely, 2^10938833172 is an apocalyptic number.

10938833172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10938833172 is an abundant number, since it is smaller than the sum of its proper divisors (16997176384).

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

10938833172 is a wasteful number, since it uses less digits than its factorization.

10938833172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132648 (or 3132643 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10938833172 in words is "ten billion, nine hundred thirty-eight million, eight hundred thirty-three thousand, one hundred seventy-two".