12961536217344 has 1728 divisors, whose sum is σ = 47810468160000. Its totient is φ = 3338790174720.

The previous prime is 12961536217327. The next prime is 12961536217349. The reversal of 12961536217344 is 44371263516921.

12961536217344 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 1 + 5 + 3 + 621 + 7 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×12961536217344² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12961536217349) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 37139072082 + ... + 37139072430.

It is an arithmetic number, because the mean of its divisors is an integer number (27668095000).

Almost surely, 2^{12961536217344} 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 12961536217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23905234080000).

12961536217344 is an abundant number, since it is smaller than the sum of its proper divisors (34848931942656).

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

12961536217344 is a wasteful number, since it uses less digits than its factorization.

12961536217344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 430 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 12961536217344 in words is "twelve trillion, nine hundred sixty-one billion, five hundred thirty-six million, two hundred seventeen thousand, three hundred forty-four".