849471168 has 112 divisors (see below), whose sum is σ = 2766283520. Its totient is φ = 224031744.

The previous prime is 849471137. The next prime is 849471263. The reversal of 849471168 is 861174948.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6838 + ... + 41781.

It is an arithmetic number, because the mean of its divisors is an integer number (24698960).

Almost surely, 2^849471168 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 849471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383141760).

849471168 is an abundant number, since it is smaller than the sum of its proper divisors (1916812352).

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

849471168 is a wasteful number, since it uses less digits than its factorization.

849471168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48654 (or 48644 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 849471168 is about 29145.6886691668. The cubic root of 849471168 is about 947.0717471149.

The spelling of 849471168 in words is "eight hundred forty-nine million, four hundred seventy-one thousand, one hundred sixty-eight".