12918348416 has 64 divisors (see below), whose sum is σ = 27578335680. Its totient is φ = 6005895168.

The previous prime is 12918348407. The next prime is 12918348473. The reversal of 12918348416 is 61484381921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144845 + ... + 216371.

It is an arithmetic number, because the mean of its divisors is an integer number (430911495).

Almost surely, 2^12918348416 is an apocalyptic number.

12918348416 is a gapful number since it is divisible by the number (16) 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 12918348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789167840).

12918348416 is an abundant number, since it is smaller than the sum of its proper divisors (14659987264).

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

12918348416 is an equidigital number, since it uses as much as digits as its factorization.

12918348416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71641 (or 71629 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The spelling of 12918348416 in words is "twelve billion, nine hundred eighteen million, three hundred forty-eight thousand, four hundred sixteen".