82114041128 has 32 divisors (see below), whose sum is σ = 176733835200. Its totient is φ = 35036696832.

The previous prime is 82114041067. The next prime is 82114041181.

82114041128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82114041094 and 82114041103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3217073 + ... + 3242496.

It is an arithmetic number, because the mean of its divisors is an integer number (5522932350).

Almost surely, 2^82114041128 is an apocalyptic number.

It is an amenable number.

82114041128 is an abundant number, since it is smaller than the sum of its proper divisors (94619794072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82114041128 is a wasteful number, since it uses less digits than its factorization.

82114041128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459809 (or 6459805 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

It can be divided in two parts, 821140 and 41128, that added together give a palindrome (862268).

The spelling of 82114041128 in words is "eighty-two billion, one hundred fourteen million, forty-one thousand, one hundred twenty-eight".