16564106541424 has 80 divisors (see below), whose sum is σ = 34890946836480. Its totient is φ = 7572157182720.

The previous prime is 16564106541383. The next prime is 16564106541427. The reversal of 16564106541424 is 42414560146561.

16564106541424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16564106541427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128820237 + ... + 128948755.

It is an arithmetic number, because the mean of its divisors is an integer number (436136835456).

Almost surely, 2^{16564106541424} 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 16564106541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17445473418240).

16564106541424 is an abundant number, since it is smaller than the sum of its proper divisors (18326840295056).

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

16564106541424 is a wasteful number, since it uses less digits than its factorization.

16564106541424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134438 (or 134432 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

Adding to 16564106541424 its reverse (42414560146561), we get a palindrome (58978666687985).

The spelling of 16564106541424 in words is "sixteen trillion, five hundred sixty-four billion, one hundred six million, five hundred forty-one thousand, four hundred twenty-four".