43438344768 has 1344 divisors, whose sum is σ = 176423116800. Its totient is φ = 10346434560.

The previous prime is 43438344731. The next prime is 43438344779. The reversal of 43438344768 is 86744383434.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 648333471 + ... + 648333537.

It is an arithmetic number, because the mean of its divisors is an integer number (131267200).

Almost surely, 2^43438344768 is an apocalyptic number.

43438344768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43438344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88211558400).

43438344768 is an abundant number, since it is smaller than the sum of its proper divisors (132984772032).

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

43438344768 is a wasteful number, since it uses less digits than its factorization.

43438344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 43438344768 in words is "forty-three billion, four hundred thirty-eight million, three hundred forty-four thousand, seven hundred sixty-eight".