111820274862529 has 2 divisors, whose sum is σ = 111820274862530. Its totient is φ = 111820274862528.

The previous prime is 111820274862509. The next prime is 111820274862547. The reversal of 111820274862529 is 925268472028111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77905690016400 + 33914584846129 = 8826420^2 + 5823623^2 .

It is an emirp because it is prime and its reverse (925268472028111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111820274862529 - 2⁴⁵ = 76635902773697 is a prime.

It is not a weakly prime, because it can be changed into another prime (111820274862509) 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 as a sum of consecutive naturals, namely, 55910137431264 + 55910137431265.

It is an arithmetic number, because the mean of its divisors is an integer number (55910137431265).

Almost surely, 2^{111820274862529} is an apocalyptic number.

It is an amenable number.

111820274862529 is a deficient number, since it is larger than the sum of its proper divisors (1).

111820274862529 is an equidigital number, since it uses as much as digits as its factorization.

111820274862529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 111820274862529 in words is "one hundred eleven trillion, eight hundred twenty billion, two hundred seventy-four million, eight hundred sixty-two thousand, five hundred twenty-nine".