110144998161 has 81 divisors (see below), whose sum is σ = 178442677777. Its totient is φ = 65420382720.

The previous prime is 110144998141. The next prime is 110144998169. The reversal of 110144998161 is 161899441011.

The square root of 110144998161 is 331881.

It is a perfect power (a square), and thus also a powerful number.

110144998161 is a `hidden beast` number, since 1 + 10 + 14 + 499 + 81 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76383140625 + 33761857536 = 276375^2 + 183744^2 .

It is not a de Polignac number, because 110144998161 - 2³⁵ = 75785259793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110144998169) 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 80 ways as a sum of consecutive naturals, for example, 974734441 + ... + 974734553.

Almost surely, 2^110144998161 is an apocalyptic number.

110144998161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110144998161 is the 331881-st square number.

110144998161 is the 165941-st centered octagonal number.

It is an amenable number.

110144998161 is a deficient number, since it is larger than the sum of its proper divisors (68297679616).

110144998161 is an equidigital number, since it uses as much as digits as its factorization.

110144998161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 110144998161 in words is "one hundred ten billion, one hundred forty-four million, nine hundred ninety-eight thousand, one hundred sixty-one".