1948617541441 has 2 divisors, whose sum is σ = 1948617541442. Its totient is φ = 1948617541440.

The previous prime is 1948617541433. The next prime is 1948617541457. The reversal of 1948617541441 is 1441457168491.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1682717462416 + 265900079025 = 1297196^2 + 515655^2 .

It is an emirp because it is prime and its reverse (1441457168491) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1948617541441 - 2³ = 1948617541433 is a prime.

It is a super-2 number, since 2×1948617541441² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1948617547441) by changing a digit.

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 as a sum of consecutive naturals, namely, 974308770720 + 974308770721.

It is an arithmetic number, because the mean of its divisors is an integer number (974308770721).

Almost surely, 2^{1948617541441} is an apocalyptic number.

It is an amenable number.

1948617541441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1948617541441 is an equidigital number, since it uses as much as digits as its factorization.

1948617541441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3870720, while the sum is 55.

The spelling of 1948617541441 in words is "one trillion, nine hundred forty-eight billion, six hundred seventeen million, five hundred forty-one thousand, four hundred forty-one".