82479819249 has 9 divisors (see below), whose sum is σ = 119138761209. Its totient is φ = 54985971780.

The previous prime is 82479819209. The next prime is 82479819259. The reversal of 82479819249 is 94291897428.

The square root of 82479819249 is 287193.

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

82479819249 is a `hidden beast` number, since 82 + 479 + 81 + 9 + 2 + 4 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 82479819249 - 2⁹ = 82479818737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82479819209) 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, 813714 + ... + 909444.

Almost surely, 2^82479819249 is an apocalyptic number.

82479819249 is the 287193-rd square number.

82479819249 is the 143597-th centered octagonal number.

It is an amenable number.

82479819249 is a deficient number, since it is larger than the sum of its proper divisors (36658941960).

82479819249 is an frugal number, since it uses more digits than its factorization.

82479819249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191468 (or 95734 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 82479819249 in words is "eighty-two billion, four hundred seventy-nine million, eight hundred nineteen thousand, two hundred forty-nine".