216184126032 has 480 divisors, whose sum is σ = 758144904192. Its totient is φ = 56101994496.

The previous prime is 216184126031. The next prime is 216184126111. The reversal of 216184126032 is 230621481612.

It is a happy number.

216184126032 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 8 + 41 + 2 + 603 + 2 = 666.

216184126032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216184126031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58791778 + ... + 58795454.

Almost surely, 2^216184126032 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 216184126032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379072452096).

216184126032 is an abundant number, since it is smaller than the sum of its proper divisors (541960778160).

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

216184126032 is a wasteful number, since it uses less digits than its factorization.

216184126032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 216184126032 in words is "two hundred sixteen billion, one hundred eighty-four million, one hundred twenty-six thousand, thirty-two".