12948176304 has 180 divisors, whose sum is σ = 42303761136. Its totient is φ = 3686264064.

The previous prime is 12948176291. The next prime is 12948176323. The reversal of 12948176304 is 40367184921.

12948176304 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 8 + 1 + 7 + 630 + 4 = 666.

12948176304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12948176304.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2064277 + ... + 2070539.

Almost surely, 2^12948176304 is an apocalyptic number.

12948176304 is a gapful number since it is divisible by the number (14) 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 12948176304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21151880568).

12948176304 is an abundant number, since it is smaller than the sum of its proper divisors (29355584832).

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

12948176304 is a wasteful number, since it uses less digits than its factorization.

12948176304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12948176304 in words is "twelve billion, nine hundred forty-eight million, one hundred seventy-six thousand, three hundred four".