13415108487648 has 384 divisors, whose sum is σ = 40872596889600. Its totient is φ = 3773739141120.

The previous prime is 13415108487629. The next prime is 13415108487691. The reversal of 13415108487648 is 84678480151431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13415108487591 and 13415108487600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7407568663 + ... + 7407570473.

It is an arithmetic number, because the mean of its divisors is an integer number (106439054400).

Almost surely, 2^{13415108487648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13415108487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436298444800).

13415108487648 is an abundant number, since it is smaller than the sum of its proper divisors (27457488401952).

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

13415108487648 is a wasteful number, since it uses less digits than its factorization.

13415108487648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 13415108487648 in words is "thirteen trillion, four hundred fifteen billion, one hundred eight million, four hundred eighty-seven thousand, six hundred forty-eight".