13446541680 has 640 divisors, whose sum is σ = 54626503680. Its totient is φ = 2680750080.

The previous prime is 13446541637. The next prime is 13446541711. The reversal of 13446541680 is 8614564431.

13446541680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11084754 + ... + 11085966.

It is an arithmetic number, because the mean of its divisors is an integer number (85353912).

Almost surely, 2^13446541680 is an apocalyptic number.

13446541680 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 13446541680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27313251840).

13446541680 is an abundant number, since it is smaller than the sum of its proper divisors (41179962000).

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

13446541680 is a wasteful number, since it uses less digits than its factorization.

13446541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 13446541680 in words is "thirteen billion, four hundred forty-six million, five hundred forty-one thousand, six hundred eighty".