29290441681 has 2 divisors, whose sum is σ = 29290441682. Its totient is φ = 29290441680.

The previous prime is 29290441637. The next prime is 29290441717. The reversal of 29290441681 is 18614409292.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28506945600 + 783496081 = 168840^2 + 27991^2 .

It is a cyclic number.

It is not a de Polignac number, because 29290441681 - 2¹³ = 29290433489 is a prime.

It is a super-2 number, since 2×29290441681² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (29290441981) 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, 14645220840 + 14645220841.

It is an arithmetic number, because the mean of its divisors is an integer number (14645220841).

Almost surely, 2^29290441681 is an apocalyptic number.

It is an amenable number.

29290441681 is a deficient number, since it is larger than the sum of its proper divisors (1).

29290441681 is an equidigital number, since it uses as much as digits as its factorization.

29290441681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 29290441681 in words is "twenty-nine billion, two hundred ninety million, four hundred forty-one thousand, six hundred eighty-one".