13785743825 has 48 divisors (see below), whose sum is σ = 19902000000. Its totient is φ = 9276733440.

The previous prime is 13785743809. The next prime is 13785743831. The reversal of 13785743825 is 52834758731.

13785743825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13785743825 - 2⁴ = 13785743809 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 11036801 + ... + 11038049.

It is an arithmetic number, because the mean of its divisors is an integer number (414625000).

Almost surely, 2^13785743825 is an apocalyptic number.

It is an amenable number.

13785743825 is a deficient number, since it is larger than the sum of its proper divisors (6116256175).

13785743825 is a wasteful number, since it uses less digits than its factorization.

13785743825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2389 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 53.

The spelling of 13785743825 in words is "thirteen billion, seven hundred eighty-five million, seven hundred forty-three thousand, eight hundred twenty-five".