845942169600 has 756 divisors, whose sum is σ = 3331558510098. Its totient is φ = 205022822400.

The previous prime is 845942169599. The next prime is 845942169629. The reversal of 845942169600 is 6961249548.

845942169600 is a `hidden beast` number, since 8 + 4 + 5 + 9 + 4 + 21 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 488701661184 + 357240508416 = 699072^2 + 597696^2 .

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 223025304 + ... + 223029096.

Almost surely, 2^845942169600 is an apocalyptic number.

845942169600 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 845942169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665779255049).

845942169600 is an abundant number, since it is smaller than the sum of its proper divisors (2485616340498).

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

845942169600 is a wasteful number, since it uses less digits than its factorization.

845942169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 845942169600 in words is "eight hundred forty-five billion, nine hundred forty-two million, one hundred sixty-nine thousand, six hundred".