111711626412161 has 2 divisors, whose sum is σ = 111711626412162. Its totient is φ = 111711626412160.

The previous prime is 111711626412137. The next prime is 111711626412193. The reversal of 111711626412161 is 161214626117111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104307023512561 + 7404602899600 = 10213081^2 + 2721140^2 .

It is a cyclic number.

It is not a de Polignac number, because 111711626412161 - 2²⁶ = 111711559303297 is a prime.

It is not a weakly prime, because it can be changed into another prime (111711626412361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55855813206080 + 55855813206081.

It is an arithmetic number, because the mean of its divisors is an integer number (55855813206081).

Almost surely, 2^{111711626412161} is an apocalyptic number.

It is an amenable number.

111711626412161 is a deficient number, since it is larger than the sum of its proper divisors (1).

111711626412161 is an equidigital number, since it uses as much as digits as its factorization.

111711626412161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24192, while the sum is 41.

The spelling of 111711626412161 in words is "one hundred eleven trillion, seven hundred eleven billion, six hundred twenty-six million, four hundred twelve thousand, one hundred sixty-one".