8216418146128 has 40 divisors (see below), whose sum is σ = 16065827078400. Its totient is φ = 4070400453504.

The previous prime is 8216418146113. The next prime is 8216418146129.

8216418146128 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8216418146128² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216418146129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117411213 + ... + 117481171.

It is an arithmetic number, because the mean of its divisors is an integer number (401645676960).

Almost surely, 2^{8216418146128} is an apocalyptic number.

It is an amenable number.

8216418146128 is a deficient number, since it is larger than the sum of its proper divisors (7849408932272).

8216418146128 is a wasteful number, since it uses less digits than its factorization.

8216418146128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137419 (or 137413 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 52.

The spelling of 8216418146128 in words is "eight trillion, two hundred sixteen billion, four hundred eighteen million, one hundred forty-six thousand, one hundred twenty-eight".