12946404384 has 144 divisors (see below), whose sum is σ = 37286645760. Its totient is φ = 4260695040.

The previous prime is 12946404371. The next prime is 12946404391. The reversal of 12946404384 is 48340464921.

12946404384 is a `hidden beast` number, since 129 + 46 + 404 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8740924 + ... + 8742404.

It is an arithmetic number, because the mean of its divisors is an integer number (258935040).

Almost surely, 2^12946404384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12946404384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643322880).

12946404384 is an abundant number, since it is smaller than the sum of its proper divisors (24340241376).

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

12946404384 is a wasteful number, since it uses less digits than its factorization.

12946404384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12946404384 in words is "twelve billion, nine hundred forty-six million, four hundred four thousand, three hundred eighty-four".