12911414208 has 448 divisors, whose sum is σ = 44023848960. Its totient is φ = 3243110400.

The previous prime is 12911414183. The next prime is 12911414209. The reversal of 12911414208 is 80241411921.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12911414209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92887803 + ... + 92887941.

It is an arithmetic number, because the mean of its divisors is an integer number (98267520).

Almost surely, 2^12911414208 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 12911414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011924480).

12911414208 is an abundant number, since it is smaller than the sum of its proper divisors (31112434752).

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

12911414208 is a wasteful number, since it uses less digits than its factorization.

12911414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 12911414208 in words is "twelve billion, nine hundred eleven million, four hundred fourteen thousand, two hundred eight".