109544880044161 has 9 divisors (see below), whose sum is σ = 109761006235593. Its totient is φ = 109329178645440.

The previous prime is 109544880044129. The next prime is 109544880044177. The reversal of 109544880044161 is 161440088445901.

The square root of 109544880044161 is 10466369.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38479305642561 + 71065574401600 = 6203169^2 + 8430040^2 .

It is not a de Polignac number, because 109544880044161 - 2⁵ = 109544880044129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109544880044461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5452968205 + ... + 5452988293.

Almost surely, 2^{109544880044161} is an apocalyptic number.

109544880044161 is the 10466369-th square number.

109544880044161 is the 5233185-th centered octagonal number.

It is an amenable number.

109544880044161 is a deficient number, since it is larger than the sum of its proper divisors (216126191432).

109544880044161 is an frugal number, since it uses more digits than its factorization.

109544880044161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41220 (or 20610 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 109544880044161 in words is "one hundred nine trillion, five hundred forty-four billion, eight hundred eighty million, forty-four thousand, one hundred sixty-one".