948385565583849 has 24 divisors (see below), whose sum is σ = 1480962444765440. Its totient is φ = 582791698903968.

The previous prime is 948385565583829. The next prime is 948385565583881.

948385565583849 is a `hidden beast` number, since 9 + 4 + 8 + 3 + 8 + 5 + 5 + 6 + 558 + 3 + 8 + 49 = 666.

948385565583849 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 948385565583849 - 2¹¹ = 948385565581801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (948385565583829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74947485817 + ... + 74947498470.

Almost surely, 2^{948385565583849} is an apocalyptic number.

It is an amenable number.

948385565583849 is a deficient number, since it is larger than the sum of its proper divisors (532576879181591).

948385565583849 is a wasteful number, since it uses less digits than its factorization.

948385565583849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149894984349 (or 149894984346 counting only the distinct ones).

The product of its digits is 179159040000, while the sum is 90.

The spelling of 948385565583849 in words is "nine hundred forty-eight trillion, three hundred eighty-five billion, five hundred sixty-five million, five hundred eighty-three thousand, eight hundred forty-nine".