12146965848 has 256 divisors, whose sum is σ = 36900864000. Its totient is φ = 3688156800.

The previous prime is 12146965837. The next prime is 12146965861. The reversal of 12146965848 is 84856964121.

12146965848 is a `hidden beast` number, since 12 + 1 + 46 + 9 + 6 + 584 + 8 = 666.

12146965848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12146965794 and 12146965803.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39057613 + ... + 39057923.

It is an arithmetic number, because the mean of its divisors is an integer number (144144000).

Almost surely, 2^12146965848 is an apocalyptic number.

12146965848 is a gapful number since it is divisible by the number (18) 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 12146965848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450432000).

12146965848 is an abundant number, since it is smaller than the sum of its proper divisors (24753898152).

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

12146965848 is a wasteful number, since it uses less digits than its factorization.

12146965848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 12146965848 in words is "twelve billion, one hundred forty-six million, nine hundred sixty-five thousand, eight hundred forty-eight".