13173645728256 has 320 divisors, whose sum is σ = 38397134426112. Its totient is φ = 3989234368512.

The previous prime is 13173645728227. The next prime is 13173645728263. The reversal of 13173645728256 is 65282754637131.

It is a self number, because there is not a number n which added to its sum of digits gives 13173645728256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435866361 + ... + 435896583.

Almost surely, 2^{13173645728256} is an apocalyptic number.

13173645728256 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 13173645728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19198567213056).

13173645728256 is an abundant number, since it is smaller than the sum of its proper divisors (25223488697856).

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

13173645728256 is a wasteful number, since it uses less digits than its factorization.

13173645728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30603 (or 30587 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 60.

The spelling of 13173645728256 in words is "thirteen trillion, one hundred seventy-three billion, six hundred forty-five million, seven hundred twenty-eight thousand, two hundred fifty-six".