82162226128 has 40 divisors (see below), whose sum is σ = 160452230400. Its totient is φ = 40755634944.

The previous prime is 82162226089. The next prime is 82162226173.

82162226128 is nontrivially palindromic in base 10.

It is a congruent number.

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, 3187500 + ... + 3213172.

It is an arithmetic number, because the mean of its divisors is an integer number (4011305760).

Almost surely, 2^82162226128 is an apocalyptic number.

It is an amenable number.

82162226128 is a deficient number, since it is larger than the sum of its proper divisors (78290004272).

82162226128 is a wasteful number, since it uses less digits than its factorization.

82162226128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27259 (or 27253 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The spelling of 82162226128 in words is "eighty-two billion, one hundred sixty-two million, two hundred twenty-six thousand, one hundred twenty-eight".