216002182032 has 320 divisors, whose sum is σ = 765536002560. Its totient is φ = 56784623616.

The previous prime is 216002182009. The next prime is 216002182049. The reversal of 216002182032 is 230281200612.

216002182032 is a `hidden beast` number, since 2 + 1 + 600 + 2 + 1 + 8 + 20 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 216002181987 and 216002182005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12453238 + ... + 12470570.

It is an arithmetic number, because the mean of its divisors is an integer number (2392300008).

Almost surely, 2^216002182032 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 216002182032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382768001280).

216002182032 is an abundant number, since it is smaller than the sum of its proper divisors (549533820528).

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

216002182032 is a wasteful number, since it uses less digits than its factorization.

216002182032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17687 (or 17675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 216002182032 its reverse (230281200612), we get a palindrome (446283382644).

The spelling of 216002182032 in words is "two hundred sixteen billion, two million, one hundred eighty-two thousand, thirty-two".