12683558016 has 384 divisors, whose sum is σ = 40699713600. Its totient is φ = 3931213824.

The previous prime is 12683558009. The next prime is 12683558051. The reversal of 12683558016 is 61085538621.

12683558016 is a `hidden beast` number, since 1 + 2 + 6 + 83 + 558 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×12683558016³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152813911 + ... + 152813993.

Almost surely, 2^12683558016 is an apocalyptic number.

12683558016 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 12683558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349856800).

12683558016 is an abundant number, since it is smaller than the sum of its proper divisors (28016155584).

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

12683558016 is an frugal number, since it uses more digits than its factorization.

12683558016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 12683558016 in words is "twelve billion, six hundred eighty-three million, five hundred fifty-eight thousand, sixteen".