10833816384 has 252 divisors, whose sum is σ = 32497544352. Its totient is φ = 3449825280.

The previous prime is 10833816379. The next prime is 10833816401. The reversal of 10833816384 is 48361833801.

10833816384 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 3 + 8 + 1 + 638 + 4 = 666.

10833816384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10833816384³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 64873069 + ... + 64873235.

Almost surely, 2^10833816384 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 10833816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248772176).

10833816384 is an abundant number, since it is smaller than the sum of its proper divisors (21663727968).

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

10833816384 is a wasteful number, since it uses less digits than its factorization.

10833816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10833816384 in words is "ten billion, eight hundred thirty-three million, eight hundred sixteen thousand, three hundred eighty-four".