82424113216 has 63 divisors (see below), whose sum is σ = 173829844237. Its totient is φ = 38769443840.

The previous prime is 82424113183. The next prime is 82424113223. The reversal of 82424113216 is 61231142428.

The square root of 82424113216 is 287096.

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

It can be written as a sum of positive squares in only one way, i.e., 64171022400 + 18253090816 = 253320^2 + 135104^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39044001 + ... + 39046111.

Almost surely, 2^82424113216 is an apocalyptic number.

82424113216 is the 287096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82424113216

82424113216 is an abundant number, since it is smaller than the sum of its proper divisors (91405731021).

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

82424113216 is an frugal number, since it uses more digits than its factorization.

82424113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 2130 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The spelling of 82424113216 in words is "eighty-two billion, four hundred twenty-four million, one hundred thirteen thousand, two hundred sixteen".