43138013184 has 864 divisors, whose sum is σ = 158031291600. Its totient is φ = 11705057280.

The previous prime is 43138013143. The next prime is 43138013189. The reversal of 43138013184 is 48131083134.

It is a happy number.

43138013184 is a `hidden beast` number, since 431 + 38 + 0 + 13 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (43138013189) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 707180514 + ... + 707180574.

Almost surely, 2^43138013184 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 43138013184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79015645800).

43138013184 is an abundant number, since it is smaller than the sum of its proper divisors (114893278416).

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

43138013184 is an equidigital number, since it uses as much as digits as its factorization.

43138013184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

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

The spelling of 43138013184 in words is "forty-three billion, one hundred thirty-eight million, thirteen thousand, one hundred eighty-four".