82664666646628 has 24 divisors (see below), whose sum is σ = 159715741479840. Its totient is φ = 37122139456320.

The previous prime is 82664666646619. The next prime is 82664666646677.

82664666646628 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82664666646628² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11317721793 + ... + 11317729096.

It is an arithmetic number, because the mean of its divisors is an integer number (6654822561660).

Almost surely, 2^{82664666646628} is an apocalyptic number.

It is an amenable number.

82664666646628 is a deficient number, since it is larger than the sum of its proper divisors (77051074833212).

82664666646628 is a wasteful number, since it uses less digits than its factorization.

82664666646628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22635450987 (or 22635450985 counting only the distinct ones).

The product of its digits is 6879707136, while the sum is 76.

The spelling of 82664666646628 in words is "eighty-two trillion, six hundred sixty-four billion, six hundred sixty-six million, six hundred forty-six thousand, six hundred twenty-eight".