12685616437248 has 720 divisors, whose sum is σ = 39470493502440. Its totient is φ = 4058645004288.

The previous prime is 12685616437243. The next prime is 12685616437253. The reversal of 12685616437248 is 84273461658621.

12685616437248 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 5 + 616 + 4 + 3 + 7 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12685616437243) and next prime (12685616437253).

Its product of digits (92897280) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685616437243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18849355440 + ... + 18849356112.

Almost surely, 2^{12685616437248} is an apocalyptic number.

12685616437248 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 12685616437248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19735246751220).

12685616437248 is an abundant number, since it is smaller than the sum of its proper divisors (26784877065192).

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

12685616437248 is an frugal number, since it uses more digits than its factorization.

12685616437248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 798 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 12685616437248 in words is "twelve trillion, six hundred eighty-five billion, six hundred sixteen million, four hundred thirty-seven thousand, two hundred forty-eight".