845870271792 has 240 divisors, whose sum is σ = 2739102186240. Its totient is φ = 222952794624.

The previous prime is 845870271761. The next prime is 845870271793. The reversal of 845870271792 is 297172078548.

It is not an unprimeable number, because it can be changed into a prime (845870271793) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 57444943 + ... + 57459665.

It is an arithmetic number, because the mean of its divisors is an integer number (11412925776).

Almost surely, 2^845870271792 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 845870271792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369551093120).

845870271792 is an abundant number, since it is smaller than the sum of its proper divisors (1893231914448).

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

845870271792 is a wasteful number, since it uses less digits than its factorization.

845870271792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16640 (or 16627 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 845870271792 in words is "eight hundred forty-five billion, eight hundred seventy million, two hundred seventy-one thousand, seven hundred ninety-two".