848649312 has 168 divisors, whose sum is σ = 2863432656. Its totient is φ = 242424576.

The previous prime is 848649311. The next prime is 848649449. The reversal of 848649312 is 213946848.

It is a happy number.

848649312 is a `hidden beast` number, since 84 + 86 + 493 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848649311) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 160698 + ... + 165894.

It is an arithmetic number, because the mean of its divisors is an integer number (17044242).

Almost surely, 2^848649312 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 848649312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431716328).

848649312 is an abundant number, since it is smaller than the sum of its proper divisors (2014783344).

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

848649312 is an equidigital number, since it uses as much as digits as its factorization.

848649312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5209 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 848649312 is about 29131.5861566101. The cubic root of 848649312 is about 946.7662206573.

The spelling of 848649312 in words is "eight hundred forty-eight million, six hundred forty-nine thousand, three hundred twelve".