12683463408 has 600 divisors, whose sum is σ = 47454891264. Its totient is φ = 3233260800.

The previous prime is 12683463389. The next prime is 12683463409. The reversal of 12683463408 is 80436438621.

12683463408 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 3 + 4 + 634 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12683463409) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46802313 + ... + 46802583.

Almost surely, 2^12683463408 is an apocalyptic number.

12683463408 is a gapful number since it is divisible by the number (18) 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 12683463408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23727445632).

12683463408 is an abundant number, since it is smaller than the sum of its proper divisors (34771427856).

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

12683463408 is a wasteful number, since it uses less digits than its factorization.

12683463408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12683463408 in words is "twelve billion, six hundred eighty-three million, four hundred sixty-three thousand, four hundred eight".