110434811077441 has 8 divisors (see below), whose sum is σ = 110508549489000. Its totient is φ = 110361075822720.

The previous prime is 110434811077433. The next prime is 110434811077477. The reversal of 110434811077441 is 144770118434011.

It can be written as a sum of positive squares in 4 ways, for example, as 871048890000 + 109563762187441 = 933300^2 + 10467271^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110434811077441 - 2³ = 110434811077433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110434811077391 and 110434811077400.

It is not an unprimeable number, because it can be changed into a prime (110434811077411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71401221 + ... + 72931501.

It is an arithmetic number, because the mean of its divisors is an integer number (13813568686125).

Almost surely, 2^{110434811077441} is an apocalyptic number.

It is an amenable number.

110434811077441 is a deficient number, since it is larger than the sum of its proper divisors (73738411559).

110434811077441 is a wasteful number, since it uses less digits than its factorization.

110434811077441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578419.

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 110434811077441 in words is "one hundred ten trillion, four hundred thirty-four billion, eight hundred eleven million, seventy-seven thousand, four hundred forty-one".