82290218373 has 48 divisors (see below), whose sum is σ = 135328415040. Its totient is φ = 47726784000.

The previous prime is 82290218369. The next prime is 82290218383. The reversal of 82290218373 is 37381209228.

82290218373 is a `hidden beast` number, since 82 + 290 + 218 + 3 + 73 = 666.

It is not a de Polignac number, because 82290218373 - 2² = 82290218369 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82290218303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197598 + ... + 451248.

It is an arithmetic number, because the mean of its divisors is an integer number (2819341980).

Almost surely, 2^82290218373 is an apocalyptic number.

It is an amenable number.

82290218373 is a deficient number, since it is larger than the sum of its proper divisors (53038196667).

82290218373 is a wasteful number, since it uses less digits than its factorization.

82290218373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253810 (or 253807 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82290218373 in words is "eighty-two billion, two hundred ninety million, two hundred eighteen thousand, three hundred seventy-three".