82345680768133 has 8 divisors (see below), whose sum is σ = 86166403917056. Its totient is φ = 78597733298400.

The previous prime is 82345680768119. The next prime is 82345680768157. The reversal of 82345680768133 is 33186708654328.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82345680768133 - 2⁹ = 82345680767621 is a prime.

It is a super-3 number, since 3×82345680768133³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82345680768433) 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 7 ways as a sum of consecutive naturals, for example, 18193917483 + ... + 18193922008.

It is an arithmetic number, because the mean of its divisors is an integer number (10770800489632).

Almost surely, 2^{82345680768133} is an apocalyptic number.

It is an amenable number.

82345680768133 is a deficient number, since it is larger than the sum of its proper divisors (3820723148923).

82345680768133 is a wasteful number, since it uses less digits than its factorization.

82345680768133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36387839595.

The product of its (nonzero) digits is 139345920, while the sum is 64.

The spelling of 82345680768133 in words is "eighty-two trillion, three hundred forty-five billion, six hundred eighty million, seven hundred sixty-eight thousand, one hundred thirty-three".