216016846848 has 384 divisors, whose sum is σ = 720999293040. Its totient is φ = 61593354240.

The previous prime is 216016846841. The next prime is 216016846861. The reversal of 216016846848 is 848648610612.

It is a happy number.

216016846848 is a `hidden beast` number, since 2 + 16 + 0 + 168 + 468 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 216016846794 and 216016846803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216016846841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55146586 + ... + 55150502.

Almost surely, 2^216016846848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216016846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360499646520).

216016846848 is an abundant number, since it is smaller than the sum of its proper divisors (504982446192).

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

216016846848 is a wasteful number, since it uses less digits than its factorization.

216016846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 216016846848 in words is "two hundred sixteen billion, sixteen million, eight hundred forty-six thousand, eight hundred forty-eight".