13782125188945 has 8 divisors (see below), whose sum is σ = 16765105709736. Its totient is φ = 10874663162496.

The previous prime is 13782125188921. The next prime is 13782125188999. The reversal of 13782125188945 is 54988152128731.

It can be written as a sum of positive squares in 4 ways, for example, as 661437370944 + 13120687818001 = 813288^2 + 3622249^2 .

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 13782125188945 - 2¹¹ = 13782125186897 is a prime.

It is a super-3 number, since 3×13782125188945³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18879623182 + ... + 18879623911.

It is an arithmetic number, because the mean of its divisors is an integer number (2095638213717).

Almost surely, 2^{13782125188945} is an apocalyptic number.

It is an amenable number.

13782125188945 is a deficient number, since it is larger than the sum of its proper divisors (2982980520791).

13782125188945 is an equidigital number, since it uses as much as digits as its factorization.

13782125188945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37759247171.

The product of its digits is 38707200, while the sum is 64.

The spelling of 13782125188945 in words is "thirteen trillion, seven hundred eighty-two billion, one hundred twenty-five million, one hundred eighty-eight thousand, nine hundred forty-five".