216133632 has 312 divisors, whose sum is σ = 751344048. Its totient is φ = 58982400.

The previous prime is 216133537. The next prime is 216133633. The reversal of 216133632 is 236331612.

It is a happy number.

216133632 is a `hidden beast` number, since 2 + 16 + 13 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-3 number, since 3×216133632³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 216133596 and 216133605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216133633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5271532 + ... + 5271572.

It is an arithmetic number, because the mean of its divisors is an integer number (2408154).

Almost surely, 2^216133632 is an apocalyptic number.

216133632 is a gapful number since it is divisible by the number (22) 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 216133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375672024).

216133632 is an abundant number, since it is smaller than the sum of its proper divisors (535210416).

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

216133632 is a wasteful number, since it uses less digits than its factorization.

216133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 216133632 is about 14701.4840067253. The cubic root of 216133632 is about 600.1237078255.

The spelling of 216133632 in words is "two hundred sixteen million, one hundred thirty-three thousand, six hundred thirty-two".