13743685632 has 168 divisors, whose sum is σ = 38956676976. Its totient is φ = 4294967296.

The previous prime is 13743685591. The next prime is 13743685633. The reversal of 13743685632 is 23658634731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is not an unprimeable number, because it can be changed into a prime (13743685633) by changing a digit.

In principle, a polygon with 13743685632 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53477248 + ... + 53477504.

It is an arithmetic number, because the mean of its divisors is an integer number (231884982).

Almost surely, 2^13743685632 is an apocalyptic number.

13743685632 is a gapful number since it is divisible by the number (12) 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 13743685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478338488).

13743685632 is an abundant number, since it is smaller than the sum of its proper divisors (25212991344).

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

13743685632 is an frugal number, since it uses more digits than its factorization.

13743685632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 279 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 13743685632 in words is "thirteen billion, seven hundred forty-three million, six hundred eighty-five thousand, six hundred thirty-two".