12948430176 has 384 divisors, whose sum is σ = 43197235200. Its totient is φ = 3737664000.

The previous prime is 12948430163. The next prime is 12948430181. The reversal of 12948430176 is 67103484921.

12948430176 is a `hidden beast` number, since 1 + 2 + 9 + 48 + 430 + 176 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20917995 + ... + 20918613.

It is an arithmetic number, because the mean of its divisors is an integer number (112492800).

Almost surely, 2^12948430176 is an apocalyptic number.

12948430176 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 12948430176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21598617600).

12948430176 is an abundant number, since it is smaller than the sum of its proper divisors (30248805024).

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

12948430176 is a wasteful number, since it uses less digits than its factorization.

12948430176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

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

The spelling of 12948430176 in words is "twelve billion, nine hundred forty-eight million, four hundred thirty thousand, one hundred seventy-six".