3948218631121 has 2 divisors, whose sum is σ = 3948218631122. Its totient is φ = 3948218631120.

The previous prime is 3948218631089. The next prime is 3948218631151. The reversal of 3948218631121 is 1211368128493.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3196944000000 + 751274631121 = 1788000^2 + 866761^2 .

It is an emirp because it is prime and its reverse (1211368128493) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3948218631121 - 2⁵ = 3948218631089 is a prime.

It is not a weakly prime, because it can be changed into another prime (3948218631151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1974109315560 + 1974109315561.

It is an arithmetic number, because the mean of its divisors is an integer number (1974109315561).

Almost surely, 2^{3948218631121} is an apocalyptic number.

It is an amenable number.

3948218631121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3948218631121 is an equidigital number, since it uses as much as digits as its factorization.

3948218631121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 497664, while the sum is 49.

The spelling of 3948218631121 in words is "three trillion, nine hundred forty-eight billion, two hundred eighteen million, six hundred thirty-one thousand, one hundred twenty-one".