12924561164256 has 768 divisors, whose sum is σ = 44728275271680. Its totient is φ = 3555097620480.

The previous prime is 12924561164227. The next prime is 12924561164257. The reversal of 12924561164256 is 65246116542921.

12924561164256 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 456 + 1 + 164 + 25 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12924561164257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3228716751 + ... + 3228720753.

It is an arithmetic number, because the mean of its divisors is an integer number (58239941760).

Almost surely, 2^{12924561164256} is an apocalyptic number.

12924561164256 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 12924561164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22364137635840).

12924561164256 is an abundant number, since it is smaller than the sum of its proper divisors (31803714107424).

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

12924561164256 is a wasteful number, since it uses less digits than its factorization.

12924561164256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4262 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 12924561164256 in words is "twelve trillion, nine hundred twenty-four billion, five hundred sixty-one million, one hundred sixty-four thousand, two hundred fifty-six".