12748195152 has 480 divisors, whose sum is σ = 47357861760. Its totient is φ = 3245598720.

The previous prime is 12748195151. The next prime is 12748195157. The reversal of 12748195152 is 25159184721.

12748195152 is a `hidden beast` number, since 12 + 7 + 481 + 9 + 5 + 152 = 666.

12748195152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12748195098 and 12748195107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12748195151) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12340428 + ... + 12341460.

It is an arithmetic number, because the mean of its divisors is an integer number (98662212).

Almost surely, 2^12748195152 is an apocalyptic number.

12748195152 is a gapful number since it is divisible by the number (12) 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 12748195152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678930880).

12748195152 is an abundant number, since it is smaller than the sum of its proper divisors (34609666608).

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

12748195152 is a wasteful number, since it uses less digits than its factorization.

12748195152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 12748195152 in words is "twelve billion, seven hundred forty-eight million, one hundred ninety-five thousand, one hundred fifty-two".