845449173504 has 640 divisors, whose sum is σ = 2878515763200. Its totient is φ = 243019284480.

The previous prime is 845449173487. The next prime is 845449173521. The reversal of 845449173504 is 405371944548.

845449173504 is a `hidden beast` number, since 8 + 4 + 5 + 44 + 91 + 7 + 3 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (845449173487) and next prime (845449173521).

It is a super-3 number, since 3×845449173504³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161558472 + ... + 161563704.

It is an arithmetic number, because the mean of its divisors is an integer number (4497680880).

Almost surely, 2^845449173504 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 845449173504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439257881600).

845449173504 is an abundant number, since it is smaller than the sum of its proper divisors (2033066589696).

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

845449173504 is a wasteful number, since it uses less digits than its factorization.

845449173504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 845449173504 in words is "eight hundred forty-five billion, four hundred forty-nine million, one hundred seventy-three thousand, five hundred four".