216167216616 has 128 divisors (see below), whose sum is σ = 647285184000. Its totient is φ = 66448076544.

The previous prime is 216167216597. The next prime is 216167216641. The reversal of 216167216616 is 616612761612.

216167216616 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 6 + 7 + 21 + 6 + 616 = 666.

216167216616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2880466 + ... + 2954558.

It is an arithmetic number, because the mean of its divisors is an integer number (5056915500).

Almost surely, 2^216167216616 is an apocalyptic number.

216167216616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216167216616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323642592000).

216167216616 is an abundant number, since it is smaller than the sum of its proper divisors (431117967384).

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

216167216616 is a wasteful number, since it uses less digits than its factorization.

216167216616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75160 (or 75150 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 216167216616 in words is "two hundred sixteen billion, one hundred sixty-seven million, two hundred sixteen thousand, six hundred sixteen".