13613404565904 has 320 divisors, whose sum is σ = 41747902629888. Its totient is φ = 3768212275200.

The previous prime is 13613404565819. The next prime is 13613404565911. The reversal of 13613404565904 is 40956540431631.

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, 1082398464 + ... + 1082411040.

Almost surely, 2^{13613404565904} 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 13613404565904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20873951314944).

13613404565904 is an abundant number, since it is smaller than the sum of its proper divisors (28134498063984).

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

13613404565904 is a wasteful number, since it uses less digits than its factorization.

13613404565904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14246 (or 14240 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 13613404565904 in words is "thirteen trillion, six hundred thirteen billion, four hundred four million, five hundred sixty-five thousand, nine hundred four".