10834845216 has 192 divisors, whose sum is σ = 31936020480. Its totient is φ = 3193758720.

The previous prime is 10834845211. The next prime is 10834845233. The reversal of 10834845216 is 61254843801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10834845211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3983505 + ... + 3986223.

It is an arithmetic number, because the mean of its divisors is an integer number (166333440).

Almost surely, 2^10834845216 is an apocalyptic number.

10834845216 is a gapful number since it is divisible by the number (16) 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 10834845216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15968010240).

10834845216 is an abundant number, since it is smaller than the sum of its proper divisors (21101175264).

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

10834845216 is a wasteful number, since it uses less digits than its factorization.

10834845216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 10834845216 in words is "ten billion, eight hundred thirty-four million, eight hundred forty-five thousand, two hundred sixteen".