216506164512 has 96 divisors (see below), whose sum is σ = 656465269824. Its totient is φ = 61748633600.

The previous prime is 216506164499. The next prime is 216506164517. The reversal of 216506164512 is 215461605612.

216506164512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (216506164517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6012189 + ... + 6048092.

It is an arithmetic number, because the mean of its divisors is an integer number (6838179894).

Almost surely, 2^216506164512 is an apocalyptic number.

216506164512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216506164512 is an abundant number, since it is smaller than the sum of its proper divisors (439959105312).

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

216506164512 is a wasteful number, since it uses less digits than its factorization.

216506164512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12060322 (or 12060314 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 216506164512 in words is "two hundred sixteen billion, five hundred six million, one hundred sixty-four thousand, five hundred twelve".