10846089216 has 312 divisors, whose sum is σ = 34454491344. Its totient is φ = 3397386240.

The previous prime is 10846089203. The next prime is 10846089223. The reversal of 10846089216 is 61298064801.

10846089216 is a `hidden beast` number, since 10 + 8 + 4 + 608 + 9 + 21 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 16920256 + ... + 16920896.

It is an arithmetic number, because the mean of its divisors is an integer number (110431062).

Almost surely, 2^10846089216 is an apocalyptic number.

10846089216 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 10846089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227245672).

10846089216 is an abundant number, since it is smaller than the sum of its proper divisors (23608402128).

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

10846089216 is an frugal number, since it uses more digits than its factorization.

10846089216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10846089216 in words is "ten billion, eight hundred forty-six million, eighty-nine thousand, two hundred sixteen".