12906282816 has 168 divisors, whose sum is σ = 43262117184. Its totient is φ = 3601704960.

The previous prime is 12906282799. The next prime is 12906282839. The reversal of 12906282816 is 61828260921.

12906282816 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 628 + 2 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12906282816² (a number of 21 digits) contains 22 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136156 + ... + 210596.

Almost surely, 2^12906282816 is an apocalyptic number.

12906282816 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 12906282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21631058592).

12906282816 is an abundant number, since it is smaller than the sum of its proper divisors (30355834368).

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

12906282816 is a wasteful number, since it uses less digits than its factorization.

12906282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74509 (or 74496 counting only the distinct ones).

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

The spelling of 12906282816 in words is "twelve billion, nine hundred six million, two hundred eighty-two thousand, eight hundred sixteen".