216313341371136 has 432 divisors, whose sum is σ = 682712682637440. Its totient is φ = 68309341479936.

The previous prime is 216313341371131. The next prime is 216313341371159. The reversal of 216313341371136 is 631173143313612.

216313341371136 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 1 + 33 + 413 + 71 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 216313341371091 and 216313341371100.

It is not an unprimeable number, because it can be changed into a prime (216313341371131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426431191 + ... + 426938153.

Almost surely, 2^{216313341371136} 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 216313341371136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341356341318720).

216313341371136 is an abundant number, since it is smaller than the sum of its proper divisors (466399341266304).

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

216313341371136 is an frugal number, since it uses more digits than its factorization.

216313341371136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507051 (or 506987 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

Adding to 216313341371136 its reverse (631173143313612), we get a palindrome (847486484684748).

The spelling of 216313341371136 in words is "two hundred sixteen trillion, three hundred thirteen billion, three hundred forty-one million, three hundred seventy-one thousand, one hundred thirty-six".