12974845056 has 128 divisors (see below), whose sum is σ = 35470051200. Its totient is φ = 4199251968.

The previous prime is 12974844989. The next prime is 12974845057. The reversal of 12974845056 is 65054847921.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12974845057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13198741 + ... + 13199723.

It is an arithmetic number, because the mean of its divisors is an integer number (277109775).

Almost surely, 2^12974845056 is an apocalyptic number.

12974845056 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 12974845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735025600).

12974845056 is an abundant number, since it is smaller than the sum of its proper divisors (22495206144).

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

12974845056 is an equidigital number, since it uses as much as digits as its factorization.

12974845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 12974845056 in words is "twelve billion, nine hundred seventy-four million, eight hundred forty-five thousand, fifty-six".