82450528164 has 27 divisors (see below), whose sum is σ = 208420967937. Its totient is φ = 27482935104.

The previous prime is 82450528157. The next prime is 82450528187. The reversal of 82450528164 is 46182505428.

The square root of 82450528164 is 287142.

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

82450528164 is a `hidden beast` number, since 8 + 2 + 4 + 505 + 2 + 81 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45050062500 + 37400465664 = 212250^2 + 193392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1698924 + ... + 1746780.

Almost surely, 2^82450528164 is an apocalyptic number.

82450528164 is the 287142-nd square number.

It is an amenable number.

82450528164 is an abundant number, since it is smaller than the sum of its proper divisors (125970439773).

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

82450528164 is an frugal number, since it uses more digits than its factorization.

82450528164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95724 (or 47862 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 82450528164 in words is "eighty-two billion, four hundred fifty million, five hundred twenty-eight thousand, one hundred sixty-four".