29661289760969 has 2 divisors, whose sum is σ = 29661289760970. Its totient is φ = 29661289760968.

The previous prime is 29661289760951. The next prime is 29661289760987. The reversal of 29661289760969 is 96906798216692.

It is a balanced prime because it is at equal distance from previous prime (29661289760951) and next prime (29661289760987).

It can be written as a sum of positive squares in only one way, i.e., 23539846796944 + 6121442964025 = 4851788^2 + 2474155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29661289760969 is a prime.

It is a super-2 number, since 2×29661289760969² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29661289760893 and 29661289760902.

It is not a weakly prime, because it can be changed into another prime (29661289760929) 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, 14830644880484 + 14830644880485.

It is an arithmetic number, because the mean of its divisors is an integer number (14830644880485).

Almost surely, 2^{29661289760969} is an apocalyptic number.

It is an amenable number.

29661289760969 is a deficient number, since it is larger than the sum of its proper divisors (1).

29661289760969 is an equidigital number, since it uses as much as digits as its factorization.

29661289760969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1904684544, while the sum is 80.

The spelling of 29661289760969 in words is "twenty-nine trillion, six hundred sixty-one billion, two hundred eighty-nine million, seven hundred sixty thousand, nine hundred sixty-nine".