110641198406561 has 2 divisors, whose sum is σ = 110641198406562. Its totient is φ = 110641198406560.

The previous prime is 110641198406461. The next prime is 110641198406639. The reversal of 110641198406561 is 165604891146011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110622412962961 + 18785443600 = 10517719^2 + 137060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110641198406561 is a prime.

It is not a weakly prime, because it can be changed into another prime (110641198406461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55320599203280 + 55320599203281.

It is an arithmetic number, because the mean of its divisors is an integer number (55320599203281).

Almost surely, 2^{110641198406561} is an apocalyptic number.

It is an amenable number.

110641198406561 is a deficient number, since it is larger than the sum of its proper divisors (1).

110641198406561 is an equidigital number, since it uses as much as digits as its factorization.

110641198406561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 53.

The spelling of 110641198406561 in words is "one hundred ten trillion, six hundred forty-one billion, one hundred ninety-eight million, four hundred six thousand, five hundred sixty-one".