948285582849 has 48 divisors (see below), whose sum is σ = 1538601255360. Its totient is φ = 557747268480.

The previous prime is 948285582817. The next prime is 948285582901.

948285582849 is a `hidden beast` number, since 9 + 4 + 8 + 2 + 8 + 558 + 28 + 49 = 666.

948285582849 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 948285582849 - 2⁵ = 948285582817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (948285582149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092154 + ... + 1757660.

It is an arithmetic number, because the mean of its divisors is an integer number (32054192820).

Almost surely, 2^948285582849 is an apocalyptic number.

948285582849 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

948285582849 is a deficient number, since it is larger than the sum of its proper divisors (590315672511).

948285582849 is a wasteful number, since it uses less digits than its factorization.

948285582849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665950 (or 665947 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

The spelling of 948285582849 in words is "nine hundred forty-eight billion, two hundred eighty-five million, five hundred eighty-two thousand, eight hundred forty-nine".