16564106564731 has 16 divisors (see below), whose sum is σ = 18759558981600. Its totient is φ = 14487287315200.

The previous prime is 16564106564671. The next prime is 16564106564737. The reversal of 16564106564731 is 13746560146561.

It is a cyclic number.

It is not a de Polignac number, because 16564106564731 - 2¹³ = 16564106556539 is a prime.

It is a super-2 number, since 2×16564106564731² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16564106564737) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92303776 + ... + 92483053.

It is an arithmetic number, because the mean of its divisors is an integer number (1172472436350).

Almost surely, 2^{16564106564731} is an apocalyptic number.

16564106564731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16564106564731 is a deficient number, since it is larger than the sum of its proper divisors (2195452416869).

16564106564731 is a wasteful number, since it uses less digits than its factorization.

16564106564731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184787150.

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 16564106564731 in words is "sixteen trillion, five hundred sixty-four billion, one hundred six million, five hundred sixty-four thousand, seven hundred thirty-one".