13728809205 has 64 divisors (see below), whose sum is σ = 25319347200. Its totient is φ = 7052797440.

The previous prime is 13728809183. The next prime is 13728809249. The reversal of 13728809205 is 50290882731.

It is a happy number.

It is not a de Polignac number, because 13728809205 - 2¹³ = 13728801013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 421567 + ... + 452963.

It is an arithmetic number, because the mean of its divisors is an integer number (395614800).

Almost surely, 2^13728809205 is an apocalyptic number.

13728809205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13728809205 is a deficient number, since it is larger than the sum of its proper divisors (11590537995).

13728809205 is a wasteful number, since it uses less digits than its factorization.

13728809205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31531 (or 31525 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13728809205 in words is "thirteen billion, seven hundred twenty-eight million, eight hundred nine thousand, two hundred five".