12816628416 has 84 divisors (see below), whose sum is σ = 38003378400. Its totient is φ = 4124886528.

The previous prime is 12816628397. The next prime is 12816628441. The reversal of 12816628416 is 61482661821.

It is a happy number.

12816628416 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 6 + 628 + 4 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366936 + ... + 400343.

Almost surely, 2^12816628416 is an apocalyptic number.

12816628416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12816628416 is an abundant number, since it is smaller than the sum of its proper divisors (25186749984).

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

12816628416 is a wasteful number, since it uses less digits than its factorization.

12816628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767326 (or 767313 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 12816628416 in words is "twelve billion, eight hundred sixteen million, six hundred twenty-eight thousand, four hundred sixteen".