849644900000 has 576 divisors, whose sum is σ = 2407705896960. Its totient is φ = 292723200000.

The previous prime is 849644899931. The next prime is 849644900017. The reversal of 849644900000 is 9446948.

It is a happy number.

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, 1168699637 + ... + 1168700363.

It is an arithmetic number, because the mean of its divisors is an integer number (4180044960).

Almost surely, 2^849644900000 is an apocalyptic number.

849644900000 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 849644900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203852948480).

849644900000 is an abundant number, since it is smaller than the sum of its proper divisors (1558060996960).

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

849644900000 is a wasteful number, since it uses less digits than its factorization.

849644900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 849644900000 in words is "eight hundred forty-nine billion, six hundred forty-four million, nine hundred thousand".