82668267814301 has 8 divisors (see below), whose sum is σ = 89815218130680. Its totient is φ = 75633867896832.

The previous prime is 82668267814229. The next prime is 82668267814331. The reversal of 82668267814301 is 10341876286628.

It can be written as a sum of positive squares in 4 ways, for example, as 3168040450201 + 79500227364100 = 1779899^2 + 8916290^2 .

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 82668267814301 - 2⁴⁶ = 12299523636637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82668267814331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28137598196 + ... + 28137601133.

It is an arithmetic number, because the mean of its divisors is an integer number (11226902266335).

Almost surely, 2^{82668267814301} is an apocalyptic number.

It is an amenable number.

82668267814301 is a deficient number, since it is larger than the sum of its proper divisors (7146950316379).

82668267814301 is a wasteful number, since it uses less digits than its factorization.

82668267814301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56275199455.

The product of its (nonzero) digits is 37158912, while the sum is 62.

The spelling of 82668267814301 in words is "eighty-two trillion, six hundred sixty-eight billion, two hundred sixty-seven million, eight hundred fourteen thousand, three hundred one".