13785172345 has 8 divisors (see below), whose sum is σ = 18905379264. Its totient is φ = 9452689584.

The previous prime is 13785172319. The next prime is 13785172367. The reversal of 13785172345 is 54327158731.

13785172345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13785172345 - 2⁹ = 13785171833 is a prime.

It is a super-4 number, since 4×13785172345⁴ (a number of 42 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13785172295 and 13785172304.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 196930999 + ... + 196931068.

It is an arithmetic number, because the mean of its divisors is an integer number (2363172408).

Almost surely, 2^13785172345 is an apocalyptic number.

It is an amenable number.

13785172345 is a deficient number, since it is larger than the sum of its proper divisors (5120206919).

13785172345 is an equidigital number, since it uses as much as digits as its factorization.

13785172345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393862079.

The product of its digits is 705600, while the sum is 46.

The spelling of 13785172345 in words is "thirteen billion, seven hundred eighty-five million, one hundred seventy-two thousand, three hundred forty-five".