12289713408 has 432 divisors, whose sum is σ = 42773692416. Its totient is φ = 3319418880.

The previous prime is 12289713407. The next prime is 12289713479. The reversal of 12289713408 is 80431798221.

It is a happy number.

12289713408 is a `hidden beast` number, since 1 + 228 + 9 + 7 + 13 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12289713407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23498235 + ... + 23498757.

Almost surely, 2^12289713408 is an apocalyptic number.

12289713408 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 12289713408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21386846208).

12289713408 is an abundant number, since it is smaller than the sum of its proper divisors (30483979008).

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

12289713408 is a wasteful number, since it uses less digits than its factorization.

12289713408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12289713408 in words is "twelve billion, two hundred eighty-nine million, seven hundred thirteen thousand, four hundred eight".