948211112849 has 48 divisors (see below), whose sum is σ = 1299594735936. Its totient is φ = 680062723200.

The previous prime is 948211112803. The next prime is 948211112857.

948211112849 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 948211112849 - 2²⁸ = 947942677393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 948211112797 and 948211112806.

It is not an unprimeable number, because it can be changed into a prime (948211112899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2236439 + ... + 2626419.

It is an arithmetic number, because the mean of its divisors is an integer number (27074890332).

Almost surely, 2^948211112849 is an apocalyptic number.

It is an amenable number.

948211112849 is a deficient number, since it is larger than the sum of its proper divisors (351383623087).

948211112849 is a wasteful number, since it uses less digits than its factorization.

948211112849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390366 (or 390359 counting only the distinct ones).

The product of its digits is 331776, while the sum is 50.

The spelling of 948211112849 in words is "nine hundred forty-eight billion, two hundred eleven million, one hundred twelve thousand, eight hundred forty-nine".