12845456513760 has 1152 divisors, whose sum is σ = 46105050120192. Its totient is φ = 2987808768000.

The previous prime is 12845456513741. The next prime is 12845456513777. The reversal of 12845456513760 is 6731565454821.

It is a self number, because there is not a number n which added to its sum of digits gives 12845456513760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76918901197 + ... + 76918901363.

It is an arithmetic number, because the mean of its divisors is an integer number (40021744896).

Almost surely, 2^{12845456513760} is an apocalyptic number.

12845456513760 is a gapful number since it is divisible by the number (10) 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 12845456513760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23052525060096).

12845456513760 is an abundant number, since it is smaller than the sum of its proper divisors (33259593606432).

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

12845456513760 is a wasteful number, since it uses less digits than its factorization.

12845456513760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 12845456513760 in words is "twelve trillion, eight hundred forty-five billion, four hundred fifty-six million, five hundred thirteen thousand, seven hundred sixty".