849434713800 has 384 divisors, whose sum is σ = 2959953408000. Its totient is φ = 200508134400.

The previous prime is 849434713759. The next prime is 849434713837. The reversal of 849434713800 is 8317434948.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10207159 + ... + 10290041.

It is an arithmetic number, because the mean of its divisors is an integer number (7708212000).

Almost surely, 2^849434713800 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 849434713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479976704000).

849434713800 is an abundant number, since it is smaller than the sum of its proper divisors (2110518694200).

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

849434713800 is a wasteful number, since it uses less digits than its factorization.

849434713800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82981 (or 82972 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 849434713800 in words is "eight hundred forty-nine billion, four hundred thirty-four million, seven hundred thirteen thousand, eight hundred".