12444451946496 has 300 divisors, whose sum is σ = 39365633008548. Its totient is φ = 3904134709248.

The previous prime is 12444451946491. The next prime is 12444451946497. The reversal of 12444451946496 is 69464915444421.

12444451946496 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 4 + 4 + 51 + 94 + 6 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11022824964096 + 1421626982400 = 3320064^2 + 1192320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444451946491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22284970 + ... + 22836566.

Almost surely, 2^{12444451946496} is an apocalyptic number.

12444451946496 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 12444451946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682816504274).

12444451946496 is an abundant number, since it is smaller than the sum of its proper divisors (26921181062052).

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

12444451946496 is an frugal number, since it uses more digits than its factorization.

12444451946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551654 (or 551619 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 12444451946496 in words is "twelve trillion, four hundred forty-four billion, four hundred fifty-one million, nine hundred forty-six thousand, four hundred ninety-six".