845795257388928 has 2304 divisors, whose sum is σ = 3288929821632000. Its totient is φ = 210160720281600.

The previous prime is 845795257388927. The next prime is 845795257388987. The reversal of 845795257388928 is 829883752597548.

845795257388928 is a `hidden beast` number, since 8 + 4 + 5 + 7 + 9 + 5 + 2 + 573 + 8 + 8 + 9 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845795257388927) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 204842637168 + ... + 204842641296.

It is an arithmetic number, because the mean of its divisors is an integer number (1427486901750).

Almost surely, 2^{845795257388928} is an apocalyptic number.

845795257388928 is a gapful number since it is divisible by the number (88) 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 845795257388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644464910816000).

845795257388928 is an abundant number, since it is smaller than the sum of its proper divisors (2443134564243072).

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

845795257388928 is a wasteful number, since it uses less digits than its factorization.

845795257388928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4272 counting only the distinct ones).

The product of its digits is 97542144000, while the sum is 90.

The spelling of 845795257388928 in words is "eight hundred forty-five trillion, seven hundred ninety-five billion, two hundred fifty-seven million, three hundred eighty-eight thousand, nine hundred twenty-eight".