82316933745424 has 45 divisors (see below), whose sum is σ = 185528661758631. Its totient is φ = 35278577016480.

The previous prime is 82316933745401. The next prime is 82316933745457. The reversal of 82316933745424 is 42454733961328.

The square root of 82316933745424 is 9072868.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×82316933745424³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 253878289 + ... + 254202319.

Almost surely, 2^{82316933745424} is an apocalyptic number.

82316933745424 is the 9072868-th square number.

It is an amenable number.

82316933745424 is an abundant number, since it is smaller than the sum of its proper divisors (103211728013207).

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

82316933745424 is an frugal number, since it uses more digits than its factorization.

82316933745424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648084 (or 324040 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 61.

The spelling of 82316933745424 in words is "eighty-two trillion, three hundred sixteen billion, nine hundred thirty-three million, seven hundred forty-five thousand, four hundred twenty-four".