3138846479041 has 27 divisors (see below), whose sum is σ = 3953989786761. Its totient is φ = 2483355367584.

The previous prime is 3138846479039. The next prime is 3138846479057. The reversal of 3138846479041 is 1409746488313.

It is a happy number.

The square root of 3138846479041 is 1771679.

It is a perfect power (a square), and thus also a powerful number.

3138846479041 is digitally balanced in base 3, 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 4 ways, for example, as 791503812225 + 2347342666816 = 889665^2 + 1532104^2 .

It is not a de Polignac number, because 3138846479041 - 2¹ = 3138846479039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3138846479071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161213055 + ... + 161232523.

Almost surely, 2^{3138846479041} is an apocalyptic number.

3138846479041 is the 1771679-th square number.

3138846479041 is the 885840-th centered octagonal number.

It is an amenable number.

3138846479041 is a deficient number, since it is larger than the sum of its proper divisors (815143307720).

3138846479041 is an frugal number, since it uses more digits than its factorization.

3138846479041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38978 (or 19489 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 3138846479041 in words is "three trillion, one hundred thirty-eight billion, eight hundred forty-six million, four hundred seventy-nine thousand, forty-one".