43468833886434 has 384 divisors, whose sum is σ = 109520343668736. Its totient is φ = 12339879552000.

The previous prime is 43468833886433. The next prime is 43468833886451.

43468833886434 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 8 + 83 + 38 + 86 + 434 = 666.

43468833886434 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (43468833886433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13622321779 + ... + 13622324969.

It is an arithmetic number, because the mean of its divisors is an integer number (285209228304).

Almost surely, 2^{43468833886434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43468833886434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54760171834368).

43468833886434 is an abundant number, since it is smaller than the sum of its proper divisors (66051509782302).

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

43468833886434 is a wasteful number, since it uses less digits than its factorization.

43468833886434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3891 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 72.

The spelling of 43468833886434 in words is "forty-three trillion, four hundred sixty-eight billion, eight hundred thirty-three million, eight hundred eighty-six thousand, four hundred thirty-four".