12684373416 has 384 divisors, whose sum is σ = 43006464000. Its totient is φ = 3430252800.

The previous prime is 12684373409. The next prime is 12684373417. The reversal of 12684373416 is 61437348621.

12684373416 is a `hidden beast` number, since 1 + 268 + 4 + 373 + 4 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (12684373417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12447355 + ... + 12448373.

It is an arithmetic number, because the mean of its divisors is an integer number (111996000).

Almost surely, 2^12684373416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12684373416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21503232000).

12684373416 is an abundant number, since it is smaller than the sum of its proper divisors (30322090584).

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

12684373416 is a wasteful number, since it uses less digits than its factorization.

12684373416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1079 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 12684373416 in words is "twelve billion, six hundred eighty-four million, three hundred seventy-three thousand, four hundred sixteen".