12687446016 has 364 divisors, whose sum is σ = 43546239232. Its totient is φ = 3619012608.

The previous prime is 12687446011. The next prime is 12687446111. The reversal of 12687446016 is 61064478621.

12687446016 is a `hidden beast` number, since 126 + 87 + 446 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12687446011) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20901585 + ... + 20902191.

Almost surely, 2^12687446016 is an apocalyptic number.

12687446016 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 12687446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21773119616).

12687446016 is an abundant number, since it is smaller than the sum of its proper divisors (30858793216).

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

12687446016 is an frugal number, since it uses more digits than its factorization.

12687446016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12687446016 in words is "twelve billion, six hundred eighty-seven million, four hundred forty-six thousand, sixteen".