845826164352 has 1024 divisors, whose sum is σ = 3009218688000. Its totient is φ = 231234600960.

The previous prime is 845826164299. The next prime is 845826164363. The reversal of 845826164352 is 253461628548.

845826164352 is a `hidden beast` number, since 8 + 4 + 582 + 6 + 1 + 6 + 4 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1563449202 + ... + 1563449742.

It is an arithmetic number, because the mean of its divisors is an integer number (2938690125).

Almost surely, 2^845826164352 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 845826164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504609344000).

845826164352 is an abundant number, since it is smaller than the sum of its proper divisors (2163392523648).

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

845826164352 is a wasteful number, since it uses less digits than its factorization.

845826164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 688 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 845826164352 in words is "eight hundred forty-five billion, eight hundred twenty-six million, one hundred sixty-four thousand, three hundred fifty-two".