13660805136384 has 1344 divisors, whose sum is σ = 50186668922880. Its totient is φ = 3632485367808.

The previous prime is 13660805136337. The next prime is 13660805136397. The reversal of 13660805136384 is 48363150806631.

13660805136384 is a `hidden beast` number, since 1 + 3 + 6 + 60 + 8 + 0 + 513 + 63 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13660805136384.

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, 369210949614 + ... + 369210949650.

It is an arithmetic number, because the mean of its divisors is an integer number (37341271520).

Almost surely, 2^{13660805136384} is an apocalyptic number.

13660805136384 is a gapful number since it is divisible by the number (14) 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 13660805136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25093334461440).

13660805136384 is an abundant number, since it is smaller than the sum of its proper divisors (36525863786496).

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

13660805136384 is an frugal number, since it uses more digits than its factorization.

13660805136384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13660805136384 in words is "thirteen trillion, six hundred sixty billion, eight hundred five million, one hundred thirty-six thousand, three hundred eighty-four".