12948872544 has 120 divisors (see below), whose sum is σ = 38728194120. Its totient is φ = 4243083264.

The previous prime is 12948872543. The next prime is 12948872561. The reversal of 12948872544 is 44527884921.

12948872544 is a `hidden beast` number, since 1 + 2 + 94 + 8 + 8 + 7 + 2 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12948872543) 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 19 ways as a sum of consecutive naturals, for example, 110592 + ... + 195264.

It is an arithmetic number, because the mean of its divisors is an integer number (322734951).

Almost surely, 2^12948872544 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 12948872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19364097060).

12948872544 is an abundant number, since it is smaller than the sum of its proper divisors (25779321576).

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

12948872544 is an equidigital number, since it uses as much as digits as its factorization.

12948872544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84754 (or 84737 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 12948872544 in words is "twelve billion, nine hundred forty-eight million, eight hundred seventy-two thousand, five hundred forty-four".