849435534948 has 288 divisors, whose sum is σ = 2684012998912. Its totient is φ = 203457070080.

The previous prime is 849435534947. The next prime is 849435534949.

849435534948 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (849435534947) and next prime (849435534949).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (849435534947) 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 95 ways as a sum of consecutive naturals, for example, 163444686 + ... + 163449882.

Almost surely, 2^849435534948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849435534948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342006499456).

849435534948 is an abundant number, since it is smaller than the sum of its proper divisors (1834577463964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

849435534948 is a wasteful number, since it uses less digits than its factorization.

849435534948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6470 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 66.

The spelling of 849435534948 in words is "eight hundred forty-nine billion, four hundred thirty-five million, five hundred thirty-four thousand, nine hundred forty-eight".