216284800032 has 1152 divisors, whose sum is σ = 826042613760. Its totient is φ = 52195000320.

The previous prime is 216284800009. The next prime is 216284800033. The reversal of 216284800032 is 230008482612.

216284800032 is a `hidden beast` number, since 21 + 628 + 4 + 8 + 0 + 0 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×216284800032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216284800032.

It is not an unprimeable number, because it can be changed into a prime (216284800033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1132381057 + ... + 1132381247.

It is an arithmetic number, because the mean of its divisors is an integer number (717050880).

Almost surely, 2^216284800032 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 216284800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413021306880).

216284800032 is an abundant number, since it is smaller than the sum of its proper divisors (609757813728).

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

216284800032 is a wasteful number, since it uses less digits than its factorization.

216284800032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 216284800032 in words is "two hundred sixteen billion, two hundred eighty-four million, eight hundred thousand, thirty-two".