43641006112 has 72 divisors (see below), whose sum is σ = 94516226028. Its totient is φ = 19820613120.

The previous prime is 43641006109. The next prime is 43641006131. The reversal of 43641006112 is 21160014634.

It can be written as a sum of positive squares in 2 ways, for example, as 34004835216 + 9636170896 = 184404^2 + 98164^2 .

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 11 ways as a sum of consecutive naturals, for example, 5622138 + ... + 5629894.

Almost surely, 2^43641006112 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 43641006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47258113014).

43641006112 is an abundant number, since it is smaller than the sum of its proper divisors (50875219916).

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

43641006112 is a wasteful number, since it uses less digits than its factorization.

43641006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 43641006112 in words is "forty-three billion, six hundred forty-one million, six thousand, one hundred twelve".