38433084134116 has 96 divisors (see below), whose sum is σ = 82640264878080. Its totient is φ = 15265573372416.

The previous prime is 38433084134087. The next prime is 38433084134119. The reversal of 38433084134116 is 61143148033483.

38433084134116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38433084134116.

It is not an unprimeable number, because it can be changed into a prime (38433084134119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6246375 + ... + 10764913.

It is an arithmetic number, because the mean of its divisors is an integer number (860836092480).

Almost surely, 2^{38433084134116} 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 38433084134116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41320132439040).

38433084134116 is an abundant number, since it is smaller than the sum of its proper divisors (44207180743964).

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

38433084134116 is a wasteful number, since it uses less digits than its factorization.

38433084134116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518841 (or 4518839 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 38433084134116 in words is "thirty-eight trillion, four hundred thirty-three billion, eighty-four million, one hundred thirty-four thousand, one hundred sixteen".