320263314228 has 288 divisors, whose sum is σ = 1010112405120. Its totient is φ = 84056555520.

The previous prime is 320263314223. The next prime is 320263314263. The reversal of 320263314228 is 822413362023.

320263314228 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 633 + 14 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320263314192 and 320263314201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320263314221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29487463 + ... + 29498321.

It is an arithmetic number, because the mean of its divisors is an integer number (3507334740).

Almost surely, 2^320263314228 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 320263314228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505056202560).

320263314228 is an abundant number, since it is smaller than the sum of its proper divisors (689849090892).

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

320263314228 is a wasteful number, since it uses less digits than its factorization.

320263314228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11247 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 320263314228 in words is "three hundred twenty billion, two hundred sixty-three million, three hundred fourteen thousand, two hundred twenty-eight".