111034560132641 has 8 divisors (see below), whose sum is σ = 111328603473384. Its totient is φ = 110740660410240.

The previous prime is 111034560132571. The next prime is 111034560132689. The reversal of 111034560132641 is 146231065430111.

It can be written as a sum of positive squares in 4 ways, for example, as 19744656702016 + 91289903430625 = 4443496^2 + 9554575^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111034560132641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111034560132595 and 111034560132604.

It is not an unprimeable number, because it can be changed into a prime (111034560132841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34356206 + ... + 37448871.

It is an arithmetic number, because the mean of its divisors is an integer number (13916075434173).

Almost surely, 2^{111034560132641} is an apocalyptic number.

It is an amenable number.

111034560132641 is a deficient number, since it is larger than the sum of its proper divisors (294043340743).

111034560132641 is an equidigital number, since it uses as much as digits as its factorization.

111034560132641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71809171.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 111034560132641 in words is "one hundred eleven trillion, thirty-four billion, five hundred sixty million, one hundred thirty-two thousand, six hundred forty-one".