16564182816 has 24 divisors (see below), whose sum is σ = 43480980144. Its totient is φ = 5521394240.

The previous prime is 16564182769. The next prime is 16564182839. The reversal of 16564182816 is 61828146561.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 86271690 + ... + 86271881.

It is an arithmetic number, because the mean of its divisors is an integer number (1811707506).

Almost surely, 2^16564182816 is an apocalyptic number.

16564182816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16564182816 is an abundant number, since it is smaller than the sum of its proper divisors (26916797328).

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

16564182816 is a wasteful number, since it uses less digits than its factorization.

16564182816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172543584 (or 172543576 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 16564182816 in words is "sixteen billion, five hundred sixty-four million, one hundred eighty-two thousand, eight hundred sixteen".