12383769556224 has 540 divisors, whose sum is σ = 40961532533460. Its totient is φ = 3718147276800.

The previous prime is 12383769556183. The next prime is 12383769556231. The reversal of 12383769556224 is 42265596738321.

12383769556224 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 3 + 7 + 69 + 5 + 562 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9737395430400 + 2646374125824 = 3120480^2 + 1626768^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273464464 + ... + 273509744.

Almost surely, 2^{12383769556224} 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 12383769556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480766266730).

12383769556224 is an abundant number, since it is smaller than the sum of its proper divisors (28577762977236).

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

12383769556224 is a wasteful number, since it uses less digits than its factorization.

12383769556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45440 (or 45406 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 12383769556224 in words is "twelve trillion, three hundred eighty-three billion, seven hundred sixty-nine million, five hundred fifty-six thousand, two hundred twenty-four".