216960443136 has 288 divisors, whose sum is σ = 690490180800. Its totient is φ = 66947973120.

The previous prime is 216960443093. The next prime is 216960443137. The reversal of 216960443136 is 631344069612.

216960443136 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 604 + 4 + 3 + 1 + 36 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 216960443091 and 216960443100.

It is not an unprimeable number, because it can be changed into a prime (216960443137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7152610 + ... + 7182878.

It is an arithmetic number, because the mean of its divisors is an integer number (2397535350).

Almost surely, 2^216960443136 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 216960443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345245090400).

216960443136 is an abundant number, since it is smaller than the sum of its proper divisors (473529737664).

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

216960443136 is a wasteful number, since it uses less digits than its factorization.

216960443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30372 (or 30352 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 216960443136 in words is "two hundred sixteen billion, nine hundred sixty million, four hundred forty-three thousand, one hundred thirty-six".