320185680144 has 480 divisors, whose sum is σ = 985382931456. Its totient is φ = 88761953280.

The previous prime is 320185680097. The next prime is 320185680181. The reversal of 320185680144 is 441086581023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 320185680096 and 320185680105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 636551797 + ... + 636552299.

Almost surely, 2^320185680144 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 320185680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492691465728).

320185680144 is an abundant number, since it is smaller than the sum of its proper divisors (665197251312).

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

320185680144 is a wasteful number, since it uses less digits than its factorization.

320185680144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 320185680144 in words is "three hundred twenty billion, one hundred eighty-five million, six hundred eighty thousand, one hundred forty-four".