845259971328 has 1728 divisors, whose sum is σ = 3085583155200. Its totient is φ = 228606935040.

The previous prime is 845259971321. The next prime is 845259971371. The reversal of 845259971328 is 823179952548.

845259971328 is a `hidden beast` number, since 8 + 4 + 5 + 2 + 599 + 7 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×845259971328² (a number of 25 digits) contains 22 as substring.

Its product of digits (43545600) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (845259971321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14326440163 + ... + 14326440221.

It is an arithmetic number, because the mean of its divisors is an integer number (1785638400).

Almost surely, 2^845259971328 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 845259971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542791577600).

845259971328 is an abundant number, since it is smaller than the sum of its proper divisors (2240323183872).

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

845259971328 is a wasteful number, since it uses less digits than its factorization.

845259971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 845259971328 in words is "eight hundred forty-five billion, two hundred fifty-nine million, nine hundred seventy-one thousand, three hundred twenty-eight".