112968345601 has 2 divisors, whose sum is σ = 112968345602. Its totient is φ = 112968345600.

The previous prime is 112968345599. The next prime is 112968345631. The reversal of 112968345601 is 106543869211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108408855025 + 4559490576 = 329255^2 + 67524^2 .

It is a cyclic number.

It is not a de Polignac number, because 112968345601 - 2¹ = 112968345599 is a prime.

Together with 112968345599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (112968345631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56484172800 + 56484172801.

It is an arithmetic number, because the mean of its divisors is an integer number (56484172801).

Almost surely, 2^112968345601 is an apocalyptic number.

It is an amenable number.

112968345601 is a deficient number, since it is larger than the sum of its proper divisors (1).

112968345601 is an equidigital number, since it uses as much as digits as its factorization.

112968345601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 112968345601 in words is "one hundred twelve billion, nine hundred sixty-eight million, three hundred forty-five thousand, six hundred one".