13785004081 has 16 divisors (see below), whose sum is σ = 15085163520. Its totient is φ = 12540234240.

The previous prime is 13785004039. The next prime is 13785004087. The reversal of 13785004081 is 18040058731.

13785004081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13785004081 - 2⁹ = 13785003569 is a prime.

It is a super-4 number, since 4×13785004081⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13785004081.

It is not an unprimeable number, because it can be changed into a prime (13785004087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426565 + ... + 457741.

It is an arithmetic number, because the mean of its divisors is an integer number (942822720).

Almost surely, 2^13785004081 is an apocalyptic number.

It is an amenable number.

13785004081 is a deficient number, since it is larger than the sum of its proper divisors (1300159439).

13785004081 is a wasteful number, since it uses less digits than its factorization.

13785004081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32064.

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 13785004081 in words is "thirteen billion, seven hundred eighty-five million, four thousand, eighty-one".