216238443650208 has 1536 divisors, whose sum is σ = 781117489152000. Its totient is φ = 56837399224320.

The previous prime is 216238443650183. The next prime is 216238443650237. The reversal of 216238443650208 is 802056344832612.

216238443650208 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 38 + 44 + 365 + 0 + 208 = 666.

It is a super-3 number, since 3×216238443650208³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137995177041 + ... + 137995178607.

It is an arithmetic number, because the mean of its divisors is an integer number (508540032000).

Almost surely, 2^{216238443650208} is an apocalyptic number.

216238443650208 is a gapful number since it is divisible by the number (28) 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 216238443650208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390558744576000).

216238443650208 is an abundant number, since it is smaller than the sum of its proper divisors (564879045501792).

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

216238443650208 is a wasteful number, since it uses less digits than its factorization.

216238443650208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 216238443650208 in words is "two hundred sixteen trillion, two hundred thirty-eight billion, four hundred forty-three million, six hundred fifty thousand, two hundred eight".