16282086912 has 720 divisors, whose sum is σ = 61814324880. Its totient is φ = 4194312192.

The previous prime is 16282086893. The next prime is 16282086937. The reversal of 16282086912 is 21968028261.

16282086912 is a `hidden beast` number, since 1 + 628 + 2 + 0 + 8 + 6 + 9 + 12 = 666.

16282086912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 378653163 + ... + 378653205.

It is an arithmetic number, because the mean of its divisors is an integer number (85853229).

Almost surely, 2^16282086912 is an apocalyptic number.

16282086912 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 16282086912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30907162440).

16282086912 is an abundant number, since it is smaller than the sum of its proper divisors (45532237968).

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

16282086912 is an equidigital number, since it uses as much as digits as its factorization.

16282086912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

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

The spelling of 16282086912 in words is "sixteen billion, two hundred eighty-two million, eighty-six thousand, nine hundred twelve".