13686434213760 has 3072 divisors, whose sum is σ = 64293723648000. Its totient is φ = 2688102236160.

The previous prime is 13686434213743. The next prime is 13686434213813. The reversal of 13686434213760 is 6731243468631.

13686434213760 is a `hidden beast` number, since 1 + 36 + 86 + 4 + 342 + 137 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13686434213697 and 13686434213706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36692852934 + ... + 36692853306.

It is an arithmetic number, because the mean of its divisors is an integer number (20928946500).

Almost surely, 2^{13686434213760} is an apocalyptic number.

13686434213760 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 13686434213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32146861824000).

13686434213760 is an abundant number, since it is smaller than the sum of its proper divisors (50607289434240).

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

13686434213760 is a wasteful number, since it uses less digits than its factorization.

13686434213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 13686434213760 in words is "thirteen trillion, six hundred eighty-six billion, four hundred thirty-four million, two hundred thirteen thousand, seven hundred sixty".