38433061571016 has 128 divisors (see below), whose sum is σ = 115622456140800. Its totient is φ = 10399846867200.

The previous prime is 38433061570991. The next prime is 38433061571017. The reversal of 38433061571016 is 61017516033483.

38433061571016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38433061571016² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38433061571017) 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, 8981791 + ... + 12551441.

It is an arithmetic number, because the mean of its divisors is an integer number (903300438600).

Almost surely, 2^{38433061571016} 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 38433061571016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57811228070400).

38433061571016 is an abundant number, since it is smaller than the sum of its proper divisors (77189394569784).

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

38433061571016 is a wasteful number, since it uses less digits than its factorization.

38433061571016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573059 (or 3573055 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 38433061571016 in words is "thirty-eight trillion, four hundred thirty-three billion, sixty-one million, five hundred seventy-one thousand, sixteen".