13334844417648 has 160 divisors (see below), whose sum is σ = 37161037541376. Its totient is φ = 4096087916544.

The previous prime is 13334844417563. The next prime is 13334844417679. The reversal of 13334844417648 is 84671444843331.

It is a junction number, because it is equal to n+sod(n) for n = 13334844417591 and 13334844417600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954732361 + ... + 954746327.

Almost surely, 2^{13334844417648} 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 13334844417648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580518770688).

13334844417648 is an abundant number, since it is smaller than the sum of its proper divisors (23826193123728).

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

13334844417648 is a wasteful number, since it uses less digits than its factorization.

13334844417648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16471 (or 16465 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 60.

The spelling of 13334844417648 in words is "thirteen trillion, three hundred thirty-four billion, eight hundred forty-four million, four hundred seventeen thousand, six hundred forty-eight".