110016616509 has 24 divisors (see below), whose sum is σ = 168273289080. Its totient is φ = 69024872448.

The previous prime is 110016616471. The next prime is 110016616559. The reversal of 110016616509 is 905616610011.

It can be written as a sum of positive squares in 4 ways, for example, as 19105321284 + 90911295225 = 138222^2 + 301515^2 .

It is not a de Polignac number, because 110016616509 - 2¹⁵ = 110016583741 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110016616559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3807087 + ... + 3835875.

It is an arithmetic number, because the mean of its divisors is an integer number (7011387045).

Almost surely, 2^110016616509 is an apocalyptic number.

It is an amenable number.

110016616509 is a deficient number, since it is larger than the sum of its proper divisors (58256672571).

110016616509 is a wasteful number, since it uses less digits than its factorization.

110016616509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53789 (or 53786 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 110016616509 in words is "one hundred ten billion, sixteen million, six hundred sixteen thousand, five hundred nine".