216218181600432 has 100 divisors (see below), whose sum is σ = 682688888246376. Its totient is φ = 65520661086720.

The previous prime is 216218181600401. The next prime is 216218181600433. The reversal of 216218181600432 is 234006181812612.

216218181600432 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 1 + 8 + 1 + 8 + 1 + 600 + 4 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (216218181600433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7583395593 + ... + 7583424104.

Almost surely, 2^{216218181600432} is an apocalyptic number.

216218181600432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216218181600432 is an abundant number, since it is smaller than the sum of its proper divisors (466470706645944).

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

216218181600432 is a wasteful number, since it uses less digits than its factorization.

216218181600432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166819728 (or 15166819713 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 216218181600432 in words is "two hundred sixteen trillion, two hundred eighteen billion, one hundred eighty-one million, six hundred thousand, four hundred thirty-two".