216546432 has 64 divisors (see below), whose sum is σ = 579482400. Its totient is φ = 71645184.

The previous prime is 216546431. The next prime is 216546433. The reversal of 216546432 is 234645612.

It is an interprime number because it is at equal distance from previous prime (216546431) and next prime (216546433).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×216546432³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216546393 and 216546402.

It is not an unprimeable number, because it can be changed into a prime (216546431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51348 + ... + 55404.

Almost surely, 2^216546432 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 216546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289741200).

216546432 is an abundant number, since it is smaller than the sum of its proper divisors (362935968).

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

216546432 is a wasteful number, since it uses less digits than its factorization.

216546432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4201 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 216546432 is about 14715.5167085631. The cubic root of 216546432 is about 600.5055295025.

The spelling of 216546432 in words is "two hundred sixteen million, five hundred forty-six thousand, four hundred thirty-two".