10611296947829 has 2 divisors, whose sum is σ = 10611296947830. Its totient is φ = 10611296947828.

The previous prime is 10611296947807. The next prime is 10611296947831. The reversal of 10611296947829 is 92874969211601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6332923240900 + 4278373706929 = 2516530^2 + 2068423^2 .

It is a cyclic number.

It is not a de Polignac number, because 10611296947829 - 2⁴⁰ = 9511785320053 is a prime.

It is a super-2 number, since 2×10611296947829² (a number of 27 digits) contains 22 as substring.

Together with 10611296947831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10611296949829) 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, 5305648473914 + 5305648473915.

It is an arithmetic number, because the mean of its divisors is an integer number (5305648473915).

Almost surely, 2^{10611296947829} is an apocalyptic number.

It is an amenable number.

10611296947829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10611296947829 is an equidigital number, since it uses as much as digits as its factorization.

10611296947829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23514624, while the sum is 65.

The spelling of 10611296947829 in words is "ten trillion, six hundred eleven billion, two hundred ninety-six million, nine hundred forty-seven thousand, eight hundred twenty-nine".