10611145441777 has 2 divisors, whose sum is σ = 10611145441778. Its totient is φ = 10611145441776.

The previous prime is 10611145441763. The next prime is 10611145441783. The reversal of 10611145441777 is 77714454111601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9535027597456 + 1076117844321 = 3087884^2 + 1037361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10611145441777 is a prime.

It is a super-2 number, since 2×10611145441777² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10611145441777.

It is not a weakly prime, because it can be changed into another prime (10611145441747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5305572720888 + 5305572720889.

It is an arithmetic number, because the mean of its divisors is an integer number (5305572720889).

Almost surely, 2^{10611145441777} is an apocalyptic number.

It is an amenable number.

10611145441777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10611145441777 is an equidigital number, since it uses as much as digits as its factorization.

10611145441777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 658560, while the sum is 49.

The spelling of 10611145441777 in words is "ten trillion, six hundred eleven billion, one hundred forty-five million, four hundred forty-one thousand, seven hundred seventy-seven".