12848380416 has 120 divisors (see below), whose sum is σ = 37781661060. Its totient is φ = 4201906176.

The previous prime is 12848380399. The next prime is 12848380417. The reversal of 12848380416 is 61408384821.

12848380416 is a `hidden beast` number, since 1 + 2 + 84 + 83 + 80 + 416 = 666.

12848380416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10919414016 + 1928966400 = 104496^2 + 43920^2 .

It is not an unprimeable number, because it can be changed into a prime (12848380417) 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 11 ways as a sum of consecutive naturals, for example, 217920 + ... + 270528.

Almost surely, 2^12848380416 is an apocalyptic number.

12848380416 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 12848380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18890830530).

12848380416 is an abundant number, since it is smaller than the sum of its proper divisors (24933280644).

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

12848380416 is an equidigital number, since it uses as much as digits as its factorization.

12848380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52686 (or 52667 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12848380416 in words is "twelve billion, eight hundred forty-eight million, three hundred eighty thousand, four hundred sixteen".