8436105216 has 360 divisors, whose sum is σ = 30424552704. Its totient is φ = 2188247040.

The previous prime is 8436105173. The next prime is 8436105233. The reversal of 8436105216 is 6125016348.

It is a happy number.

8436105216 is a `hidden beast` number, since 8 + 436 + 1 + 0 + 5 + 216 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11353741 + ... + 11354483.

Almost surely, 2^8436105216 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 8436105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212276352).

8436105216 is an abundant number, since it is smaller than the sum of its proper divisors (21988447488).

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

8436105216 is a wasteful number, since it uses less digits than its factorization.

8436105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8436105216 is about 91848.2727981316. The cubic root of 8436105216 is about 2035.7010277084.

The spelling of 8436105216 in words is "eight billion, four hundred thirty-six million, one hundred five thousand, two hundred sixteen".