16564107044340 has 36 divisors (see below), whose sum is σ = 50244458035044. Its totient is φ = 4417095211776.

The previous prime is 16564107044339. The next prime is 16564107044363. The reversal of 16564107044340 is 4344070146561.

16564107044340 is a `hidden beast` number, since 1 + 6 + 5 + 64 + 107 + 0 + 443 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5353355767824 + 11210751276516 = 2313732^2 + 3348246^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46011408277 + ... + 46011408636.

Almost surely, 2^{16564107044340} is an apocalyptic number.

16564107044340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16564107044340 is an abundant number, since it is smaller than the sum of its proper divisors (33680350990704).

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

16564107044340 is a wasteful number, since it uses less digits than its factorization.

16564107044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92022816928 (or 92022816923 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 16564107044340 in words is "sixteen trillion, five hundred sixty-four billion, one hundred seven million, forty-four thousand, three hundred forty".