82017346455 has 96 divisors (see below), whose sum is σ = 170348106240. Its totient is φ = 36034986240.

The previous prime is 82017346441. The next prime is 82017346457. The reversal of 82017346455 is 55464371028.

82017346455 is a `hidden beast` number, since 8 + 20 + 173 + 4 + 6 + 455 = 666.

It is not a de Polignac number, because 82017346455 - 2¹⁷ = 82017215383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82017346455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82017346457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26737 + ... + 405893.

It is an arithmetic number, because the mean of its divisors is an integer number (1774459440).

Almost surely, 2^82017346455 is an apocalyptic number.

82017346455 is an abundant number, since it is smaller than the sum of its proper divisors (88330759785).

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

82017346455 is a wasteful number, since it uses less digits than its factorization.

82017346455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379221 (or 379218 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 82017346455 in words is "eighty-two billion, seventeen million, three hundred forty-six thousand, four hundred fifty-five".