12386355681024 has 576 divisors, whose sum is σ = 41579002214400. Its totient is φ = 3605671231488.

The previous prime is 12386355681013. The next prime is 12386355681079. The reversal of 12386355681024 is 42018655368321.

12386355681024 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 6 + 3 + 556 + 81 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 1360684857 + ... + 1360693959.

Almost surely, 2^{12386355681024} 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 12386355681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20789501107200).

12386355681024 is an abundant number, since it is smaller than the sum of its proper divisors (29192646533376).

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

12386355681024 is a wasteful number, since it uses less digits than its factorization.

12386355681024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 12386355681024 in words is "twelve trillion, three hundred eighty-six billion, three hundred fifty-five million, six hundred eighty-one thousand, twenty-four".