978448137891841 has 2 divisors, whose sum is σ = 978448137891842. Its totient is φ = 978448137891840.

The previous prime is 978448137891817. The next prime is 978448137891863. The reversal of 978448137891841 is 148198731844879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 908835881079025 + 69612256812816 = 30146905^2 + 8343396^2 .

It is an emirp because it is prime and its reverse (148198731844879) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 978448137891841 - 2⁷ = 978448137891713 is a prime.

It is a super-2 number, since 2×978448137891841² (a number of 31 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (978448137891871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 489224068945920 + 489224068945921.

It is an arithmetic number, because the mean of its divisors is an integer number (489224068945921).

Almost surely, 2^{978448137891841} is an apocalyptic number.

It is an amenable number.

978448137891841 is a deficient number, since it is larger than the sum of its proper divisors (1).

978448137891841 is an equidigital number, since it uses as much as digits as its factorization.

978448137891841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3121348608, while the sum is 82.

The spelling of 978448137891841 in words is "nine hundred seventy-eight trillion, four hundred forty-eight billion, one hundred thirty-seven million, eight hundred ninety-one thousand, eight hundred forty-one".