320603516416 has 80 divisors (see below), whose sum is σ = 651005707968. Its totient is φ = 157704192000.

The previous prime is 320603516407. The next prime is 320603516449. The reversal of 320603516416 is 614615306023.

It is a super-2 number, since 2×320603516416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14977081 + ... + 14998471.

Almost surely, 2^320603516416 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 320603516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325502853984).

320603516416 is an abundant number, since it is smaller than the sum of its proper divisors (330402191552).

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

320603516416 is an equidigital number, since it uses as much as digits as its factorization.

320603516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21883 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 320603516416 in words is "three hundred twenty billion, six hundred three million, five hundred sixteen thousand, four hundred sixteen".