320414514816 has 128 divisors (see below), whose sum is σ = 931501992960. Its totient is φ = 96778644480.

The previous prime is 320414514773. The next prime is 320414514869. The reversal of 320414514816 is 618415414023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×320414514816² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1173225 + ... + 1420311.

It is an arithmetic number, because the mean of its divisors is an integer number (7277359320).

Almost surely, 2^320414514816 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 320414514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465750996480).

320414514816 is an abundant number, since it is smaller than the sum of its proper divisors (611087478144).

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

320414514816 is a wasteful number, since it uses less digits than its factorization.

320414514816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247422 (or 247410 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 320414514816 its reverse (618415414023), we get a palindrome (938829928839).

The spelling of 320414514816 in words is "three hundred twenty billion, four hundred fourteen million, five hundred fourteen thousand, eight hundred sixteen".