948659343956849 has 8 divisors (see below), whose sum is σ = 1084543381014528. Its totient is φ = 812865625308000.

The previous prime is 948659343956783. The next prime is 948659343956867.

948659343956849 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 948659343956849 - 2³² = 948655048989553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (948659343952849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22579579697 + ... + 22579621710.

It is an arithmetic number, because the mean of its divisors is an integer number (135567922626816).

Almost surely, 2^{948659343956849} is an apocalyptic number.

It is an amenable number.

948659343956849 is a deficient number, since it is larger than the sum of its proper divisors (135884037057679).

948659343956849 is a wasteful number, since it uses less digits than its factorization.

948659343956849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45159204415.

The product of its digits is 217678233600, while the sum is 92.

The spelling of 948659343956849 in words is "nine hundred forty-eight trillion, six hundred fifty-nine billion, three hundred forty-three million, nine hundred fifty-six thousand, eight hundred forty-nine".