82664716047 has 32 divisors (see below), whose sum is σ = 115823001600. Its totient is φ = 52343202912.

The previous prime is 82664716039. The next prime is 82664716061. The reversal of 82664716047 is 74061746628.

It is not a de Polignac number, because 82664716047 - 2³ = 82664716039 is a prime.

It is a super-4 number, since 4×82664716047⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82664716007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5913288 + ... + 5927250.

It is an arithmetic number, because the mean of its divisors is an integer number (3619468800).

Almost surely, 2^82664716047 is an apocalyptic number.

82664716047 is a deficient number, since it is larger than the sum of its proper divisors (33158285553).

82664716047 is a wasteful number, since it uses less digits than its factorization.

82664716047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14587.

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 82664716047 in words is "eighty-two billion, six hundred sixty-four million, seven hundred sixteen thousand, forty-seven".