12449245968 has 320 divisors, whose sum is σ = 38759424000. Its totient is φ = 3813848064.

The previous prime is 12449245943. The next prime is 12449246009. The reversal of 12449245968 is 86954294421.

12449245968 is a `hidden beast` number, since 1 + 2 + 4 + 49 + 2 + 4 + 596 + 8 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 47335405 + ... + 47335667.

It is an arithmetic number, because the mean of its divisors is an integer number (121123200).

Almost surely, 2^12449245968 is an apocalyptic number.

12449245968 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 12449245968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19379712000).

12449245968 is an abundant number, since it is smaller than the sum of its proper divisors (26310178032).

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

12449245968 is a wasteful number, since it uses less digits than its factorization.

12449245968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 12449245968 in words is "twelve billion, four hundred forty-nine million, two hundred forty-five thousand, nine hundred sixty-eight".