328262283856416 has 1152 divisors, whose sum is σ = 1115584648206336. Its totient is φ = 83722156277760.

The previous prime is 328262283856411. The next prime is 328262283856487. The reversal of 328262283856416 is 614658382262823.

It is a happy number.

It is a super-2 number, since 2×328262283856416² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (328262283856411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204270244285 + ... + 204270245891.

It is an arithmetic number, because the mean of its divisors is an integer number (968389451568).

Almost surely, 2^{328262283856416} 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 328262283856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557792324103168).

328262283856416 is an abundant number, since it is smaller than the sum of its proper divisors (787322364349920).

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

328262283856416 is a wasteful number, since it uses less digits than its factorization.

328262283856416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2399 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 66.

The spelling of 328262283856416 in words is "three hundred twenty-eight trillion, two hundred sixty-two billion, two hundred eighty-three million, eight hundred fifty-six thousand, four hundred sixteen".