82163436128 has 48 divisors (see below), whose sum is σ = 163534140000. Its totient is φ = 40632302592.

The previous prime is 82163436119. The next prime is 82163436137.

82163436128 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82163436119) and next prime (82163436137).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963973 + ... + 2005371.

It is an arithmetic number, because the mean of its divisors is an integer number (3406961250).

Almost surely, 2^82163436128 is an apocalyptic number.

It is an amenable number.

82163436128 is a deficient number, since it is larger than the sum of its proper divisors (81370703872).

82163436128 is a wasteful number, since it uses less digits than its factorization.

82163436128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42087 (or 42079 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 82163436128 in words is "eighty-two billion, one hundred sixty-three million, four hundred thirty-six thousand, one hundred twenty-eight".