1836864216 has 336 divisors, whose sum is σ = 6018276600. Its totient is φ = 523480320.

The previous prime is 1836864187. The next prime is 1836864221. The reversal of 1836864216 is 6124686381.

1836864216 is a `hidden beast` number, since 18 + 368 + 64 + 216 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13407700 + ... + 13407836.

Almost surely, 2^1836864216 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 1836864216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009138300).

1836864216 is an abundant number, since it is smaller than the sum of its proper divisors (4181412384).

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

1836864216 is a wasteful number, since it uses less digits than its factorization.

1836864216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1836864216 is about 42858.6539219327. The cubic root of 1836864216 is about 1224.6886263448.

The spelling of 1836864216 in words is "one billion, eight hundred thirty-six million, eight hundred sixty-four thousand, two hundred sixteen".