12417216768 has 216 divisors, whose sum is σ = 39467072736. Its totient is φ = 3723264000.

The previous prime is 12417216751. The next prime is 12417216829. The reversal of 12417216768 is 86761271421.

12417216768 is a `hidden beast` number, since 12 + 417 + 2 + 167 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455843 + ... + 2460893.

Almost surely, 2^12417216768 is an apocalyptic number.

12417216768 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 12417216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733536368).

12417216768 is an abundant number, since it is smaller than the sum of its proper divisors (27049855968).

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

12417216768 is a wasteful number, since it uses less digits than its factorization.

12417216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5164 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 12417216768 in words is "twelve billion, four hundred seventeen million, two hundred sixteen thousand, seven hundred sixty-eight".