111755365464601 has 2 divisors, whose sum is σ = 111755365464602. Its totient is φ = 111755365464600.

The previous prime is 111755365464581. The next prime is 111755365464619. The reversal of 111755365464601 is 106464563557111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111545789202576 + 209576262025 = 10561524^2 + 457795^2 .

It is a cyclic number.

It is not a de Polignac number, because 111755365464601 - 2⁹ = 111755365464089 is a prime.

It is not a weakly prime, because it can be changed into another prime (111755365494601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55877682732300 + 55877682732301.

It is an arithmetic number, because the mean of its divisors is an integer number (55877682732301).

Almost surely, 2^{111755365464601} is an apocalyptic number.

It is an amenable number.

111755365464601 is a deficient number, since it is larger than the sum of its proper divisors (1).

111755365464601 is an equidigital number, since it uses as much as digits as its factorization.

111755365464601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 111755365464601 in words is "one hundred eleven trillion, seven hundred fifty-five billion, three hundred sixty-five million, four hundred sixty-four thousand, six hundred one".