13786344395136 has 864 divisors, whose sum is σ = 44812783381080. Its totient is φ = 4221345300480.

The previous prime is 13786344395099. The next prime is 13786344395231. The reversal of 13786344395136 is 63159344368731.

13786344395136 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 63 + 4 + 439 + 5 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10436293356 + ... + 10436294676.

Almost surely, 2^{13786344395136} is an apocalyptic number.

13786344395136 is a gapful number since it is divisible by the number (16) 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 13786344395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406391690540).

13786344395136 is an abundant number, since it is smaller than the sum of its proper divisors (31026438985944).

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

13786344395136 is an frugal number, since it uses more digits than its factorization.

13786344395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1386 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 13786344395136 in words is "thirteen trillion, seven hundred eighty-six billion, three hundred forty-four million, three hundred ninety-five thousand, one hundred thirty-six".