82918088647969 has 3 divisors (see below), whose sum is σ = 82918097753907. Its totient is φ = 82918079542032.

The previous prime is 82918088647963. The next prime is 82918088647987. The reversal of 82918088647969 is 96974688081928.

The square root of 82918088647969 is 9105937.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 16092172365025 + 66825916282944 = 4011505^2 + 8174712^2 .

It is not a de Polignac number, because 82918088647969 - 2¹¹ = 82918088645921 is a prime.

It is a super-2 number, since 2×82918088647969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82918088647963) 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 2 ways as a sum of consecutive naturals, for example, 4552969 + ... + 13658905.

It is an arithmetic number, because the mean of its divisors is an integer number (27639365917969).

Almost surely, 2^{82918088647969} is an apocalyptic number.

82918088647969 is the 9105937-th square number.

82918088647969 is the 4552969-th centered octagonal number.

It is an amenable number.

82918088647969 is a deficient number, since it is larger than the sum of its proper divisors (9105938).

82918088647969 is an frugal number, since it uses more digits than its factorization.

82918088647969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211874 (or 9105937 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 85.

The spelling of 82918088647969 in words is "eighty-two trillion, nine hundred eighteen billion, eighty-eight million, six hundred forty-seven thousand, nine hundred sixty-nine".