12938728496505 has 32 divisors (see below), whose sum is σ = 25051118033664. Its totient is φ = 5566915117056.

The previous prime is 12938728496461. The next prime is 12938728496521. The reversal of 12938728496505 is 50569482783921.

It is not a de Polignac number, because 12938728496505 - 2¹² = 12938728492409 is a prime.

It is a super-3 number, since 3×12938728496505³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12938728496505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3624291912 + ... + 3624295481.

It is an arithmetic number, because the mean of its divisors is an integer number (782847438552).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12938728496505 = 25877456993010, but 3⋅12938728496505 = 38816185489515 is not.

Almost surely, 2^{12938728496505} is an apocalyptic number.

12938728496505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12938728496505 is a deficient number, since it is larger than the sum of its proper divisors (12112389537159).

12938728496505 is a wasteful number, since it uses less digits than its factorization.

12938728496505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248587425.

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 12938728496505 in words is "twelve trillion, nine hundred thirty-eight billion, seven hundred twenty-eight million, four hundred ninety-six thousand, five hundred five".