13459461482880 has 1024 divisors, whose sum is σ = 56299856025600. Its totient is φ = 2975035392000.

The previous prime is 13459461482861. The next prime is 13459461482893. The reversal of 13459461482880 is 8828416495431.

It is a happy number.

13459461482880 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 9 + 4 + 614 + 8 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525316470 + ... + 525342090.

It is an arithmetic number, because the mean of its divisors is an integer number (54980328150).

Almost surely, 2^{13459461482880} is an apocalyptic number.

13459461482880 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 13459461482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28149928012800).

13459461482880 is an abundant number, since it is smaller than the sum of its proper divisors (42840394542720).

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

13459461482880 is a wasteful number, since it uses less digits than its factorization.

13459461482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25800 (or 25782 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 13459461482880 in words is "thirteen trillion, four hundred fifty-nine billion, four hundred sixty-one million, four hundred eighty-two thousand, eight hundred eighty".