216035066016 has 288 divisors, whose sum is σ = 786646643328. Its totient is φ = 54596229120.

The previous prime is 216035065963. The next prime is 216035066021. The reversal of 216035066016 is 610660530612.

216035066016 is a `hidden beast` number, since 2 + 16 + 0 + 35 + 0 + 6 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×216035066016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 688866 + ... + 952158.

It is an arithmetic number, because the mean of its divisors is an integer number (2731411956).

Almost surely, 2^216035066016 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 216035066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393323321664).

216035066016 is an abundant number, since it is smaller than the sum of its proper divisors (570611577312).

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

216035066016 is a wasteful number, since it uses less digits than its factorization.

216035066016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263364 (or 263353 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 216035066016 its reverse (610660530612), we get a palindrome (826695596628).

The spelling of 216035066016 in words is "two hundred sixteen billion, thirty-five million, sixty-six thousand, sixteen".