12874519448256 has 224 divisors, whose sum is σ = 36122633164800. Its totient is φ = 4039748812800.

The previous prime is 12874519448177. The next prime is 12874519448257. The reversal of 12874519448256 is 65284491547821.

It is a super-2 number, since 2×12874519448256² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12874519448257) 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 31 ways as a sum of consecutive naturals, for example, 1387186336 + ... + 1387195616.

It is an arithmetic number, because the mean of its divisors is an integer number (161261755200).

Almost surely, 2^{12874519448256} is an apocalyptic number.

12874519448256 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 12874519448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061316582400).

12874519448256 is an abundant number, since it is smaller than the sum of its proper divisors (23248113716544).

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

12874519448256 is a wasteful number, since it uses less digits than its factorization.

12874519448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15663 (or 15653 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 66.

The spelling of 12874519448256 in words is "twelve trillion, eight hundred seventy-four billion, five hundred nineteen million, four hundred forty-eight thousand, two hundred fifty-six".