13742762345 has 32 divisors (see below), whose sum is σ = 18821914272. Its totient is φ = 9542725632.

The previous prime is 13742762323. The next prime is 13742762417. The reversal of 13742762345 is 54326724731.

13742762345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 9971819881 + 3770942464 = 99859^2 + 61408^2 .

It is a cyclic number.

It is not a de Polignac number, because 13742762345 - 2¹⁰ = 13742761321 is a prime.

It is a super-3 number, since 3×13742762345³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13742762296 and 13742762305.

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 31 ways as a sum of consecutive naturals, for example, 1335239 + ... + 1345491.

It is an arithmetic number, because the mean of its divisors is an integer number (588184821).

Almost surely, 2^13742762345 is an apocalyptic number.

It is an amenable number.

13742762345 is a deficient number, since it is larger than the sum of its proper divisors (5079151927).

13742762345 is a wasteful number, since it uses less digits than its factorization.

13742762345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11501.

The product of its digits is 846720, while the sum is 44.

The spelling of 13742762345 in words is "thirteen billion, seven hundred forty-two million, seven hundred sixty-two thousand, three hundred forty-five".