43486281216 has 640 divisors, whose sum is σ = 153440179200. Its totient is φ = 11904122880.

The previous prime is 43486281187. The next prime is 43486281227. The reversal of 43486281216 is 61218268434.

43486281216 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 628 + 1 + 2 + 16 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312850875 + ... + 312851013.

It is an arithmetic number, because the mean of its divisors is an integer number (239750280).

Almost surely, 2^43486281216 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 43486281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76720089600).

43486281216 is an abundant number, since it is smaller than the sum of its proper divisors (109953897984).

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

43486281216 is a wasteful number, since it uses less digits than its factorization.

43486281216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 43486281216 in words is "forty-three billion, four hundred eighty-six million, two hundred eighty-one thousand, two hundred sixteen".