13728261456 has 320 divisors, whose sum is σ = 48871872000. Its totient is φ = 3592802304.

The previous prime is 13728261439. The next prime is 13728261457. The reversal of 13728261456 is 65416282731.

13728261456 is a `hidden beast` number, since 1 + 3 + 7 + 28 + 2 + 614 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728261457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5384470 + ... + 5387018.

It is an arithmetic number, because the mean of its divisors is an integer number (152724600).

Almost surely, 2^13728261456 is an apocalyptic number.

13728261456 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 13728261456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24435936000).

13728261456 is an abundant number, since it is smaller than the sum of its proper divisors (35143610544).

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

13728261456 is a wasteful number, since it uses less digits than its factorization.

13728261456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2711 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 13728261456 in words is "thirteen billion, seven hundred twenty-eight million, two hundred sixty-one thousand, four hundred fifty-six".