320844302650368 has 1056 divisors, whose sum is σ = 1144351190814720. Its totient is φ = 88708727439360.

The previous prime is 320844302650279. The next prime is 320844302650369. The reversal of 320844302650368 is 863056203448023.

320844302650368 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 44 + 30 + 2 + 6 + 503 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (320844302650369) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14405066880 + ... + 14405089152.

Almost surely, 2^{320844302650368} 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 320844302650368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572175595407360).

320844302650368 is an abundant number, since it is smaller than the sum of its proper divisors (823506888164352).

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

320844302650368 is an frugal number, since it uses more digits than its factorization.

320844302650368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22368 (or 22316 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 320844302650368 in words is "three hundred twenty trillion, eight hundred forty-four billion, three hundred two million, six hundred fifty thousand, three hundred sixty-eight".