10331829312 has 112 divisors (see below), whose sum is σ = 31298522112. Its totient is φ = 2946562560.

The previous prime is 10331829289. The next prime is 10331829353. The reversal of 10331829312 is 21392813301.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760693 + ... + 774155.

Almost surely, 2^10331829312 is an apocalyptic number.

10331829312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649261056).

10331829312 is an abundant number, since it is smaller than the sum of its proper divisors (20966692800).

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

10331829312 is a wasteful number, since it uses less digits than its factorization.

10331829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 10331829312 in words is "ten billion, three hundred thirty-one million, eight hundred twenty-nine thousand, three hundred twelve".