216516615612 has 96 divisors (see below), whose sum is σ = 580265441280. Its totient is φ = 62144464320.

The previous prime is 216516615473. The next prime is 216516615617.

216516615612 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216516615617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21631513 + ... + 21641519.

It is an arithmetic number, because the mean of its divisors is an integer number (6044431680).

Almost surely, 2^216516615612 is an apocalyptic number.

216516615612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216516615612 is an abundant number, since it is smaller than the sum of its proper divisors (363748825668).

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

216516615612 is a wasteful number, since it uses less digits than its factorization.

216516615612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18671 (or 18669 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The spelling of 216516615612 in words is "two hundred sixteen billion, five hundred sixteen million, six hundred fifteen thousand, six hundred twelve".