849645035200 has 336 divisors, whose sum is σ = 2299783116960. Its totient is φ = 307015188480.

The previous prime is 849645035167. The next prime is 849645035207. The reversal of 849645035200 is 2530546948.

It is not an unprimeable number, because it can be changed into a prime (849645035207) 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 47 ways as a sum of consecutive naturals, for example, 603012096 + ... + 603013504.

It is an arithmetic number, because the mean of its divisors is an integer number (6844592610).

Almost surely, 2^849645035200 is an apocalyptic number.

849645035200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849645035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149891558480).

849645035200 is an abundant number, since it is smaller than the sum of its proper divisors (1450138081760).

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

849645035200 is a wasteful number, since it uses less digits than its factorization.

849645035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 849645035200 in words is "eight hundred forty-nine billion, six hundred forty-five million, thirty-five thousand, two hundred".