320144113322300 has 144 divisors (see below), whose sum is σ = 702668764008288. Its totient is φ = 126599319475200.

The previous prime is 320144113322251. The next prime is 320144113322317. The reversal of 320144113322300 is 3223311441023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4144919282 + ... + 4144996518.

It is an arithmetic number, because the mean of its divisors is an integer number (4879644194502).

Almost surely, 2^{320144113322300} 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 320144113322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351334382004144).

320144113322300 is an abundant number, since it is smaller than the sum of its proper divisors (382524650685988).

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

320144113322300 is a wasteful number, since it uses less digits than its factorization.

320144113322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78576 (or 78569 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 320144113322300 its reverse (3223311441023), we get a palindrome (323367424763323).

The spelling of 320144113322300 in words is "three hundred twenty trillion, one hundred forty-four billion, one hundred thirteen million, three hundred twenty-two thousand, three hundred".