320334957373152 has 192 divisors, whose sum is σ = 900384946675200. Its totient is φ = 99363826974720.

The previous prime is 320334957373117. The next prime is 320334957373157. The reversal of 320334957373152 is 251373759433023.

It is a super-2 number, since 2×320334957373152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320334957373092 and 320334957373101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320334957373157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6745148127 + ... + 6745195617.

It is an arithmetic number, because the mean of its divisors is an integer number (4689504930600).

Almost surely, 2^{320334957373152} is an apocalyptic number.

320334957373152 is a gapful number since it is divisible by the number (32) 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 320334957373152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450192473337600).

320334957373152 is an abundant number, since it is smaller than the sum of its proper divisors (580049989302048).

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

320334957373152 is a wasteful number, since it uses less digits than its factorization.

320334957373152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94049 (or 94041 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 57.

The spelling of 320334957373152 in words is "three hundred twenty trillion, three hundred thirty-four billion, nine hundred fifty-seven million, three hundred seventy-three thousand, one hundred fifty-two".