845046328320 has 440 divisors, whose sum is σ = 3034756235808. Its totient is φ = 224855654400.

The previous prime is 845046328309. The next prime is 845046328339. The reversal of 845046328320 is 23823640548.

845046328320 is a `hidden beast` number, since 8 + 4 + 5 + 0 + 4 + 632 + 8 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×845046328320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216067165 + ... + 216071075.

Almost surely, 2^845046328320 is an apocalyptic number.

845046328320 is a gapful number since it is divisible by the number (80) 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 845046328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517378117904).

845046328320 is an abundant number, since it is smaller than the sum of its proper divisors (2189709907488).

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

845046328320 is a wasteful number, since it uses less digits than its factorization.

845046328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 845046328320 its reverse (23823640548), we get a palindrome (868869968868).

The spelling of 845046328320 in words is "eight hundred forty-five billion, forty-six million, three hundred twenty-eight thousand, three hundred twenty".