82421816464 has 45 divisors (see below), whose sum is σ = 172952541099. Its totient is φ = 38033948160.

The previous prime is 82421816461. The next prime is 82421816501. The reversal of 82421816464 is 46461812428.

The square root of 82421816464 is 287092.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27575923600 + 54845892864 = 166060^2 + 234192^2 .

It is not an unprimeable number, because it can be changed into a prime (82421816461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14926024 + ... + 14931544.

Almost surely, 2^82421816464 is an apocalyptic number.

82421816464 is the 287092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82421816464

82421816464 is an abundant number, since it is smaller than the sum of its proper divisors (90530724635).

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

82421816464 is an frugal number, since it uses more digits than its factorization.

82421816464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076 (or 5536 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The spelling of 82421816464 in words is "eighty-two billion, four hundred twenty-one million, eight hundred sixteen thousand, four hundred sixty-four".