849745198800 has 240 divisors, whose sum is σ = 3054412570560. Its totient is φ = 224354880000.

The previous prime is 849745198751. The next prime is 849745198811. The reversal of 849745198800 is 8891547948.

849745198800 is a `hidden beast` number, since 8 + 4 + 97 + 451 + 98 + 8 + 0 + 0 = 666.

849745198800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701295 + ... + 1480305.

It is an arithmetic number, because the mean of its divisors is an integer number (12726719044).

Almost surely, 2^849745198800 is an apocalyptic number.

849745198800 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 849745198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527206285280).

849745198800 is an abundant number, since it is smaller than the sum of its proper divisors (2204667371760).

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

849745198800 is a wasteful number, since it uses less digits than its factorization.

849745198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779139 (or 779122 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 849745198800 in words is "eight hundred forty-nine billion, seven hundred forty-five million, one hundred ninety-eight thousand, eight hundred".