29967668662041 has 96 divisors (see below), whose sum is σ = 47898568867968. Its totient is φ = 17903557509120.

The previous prime is 29967668662027. The next prime is 29967668662091. The reversal of 29967668662041 is 14026686676992.

29967668662041 is a `hidden beast` number, since 299 + 6 + 76 + 6 + 8 + 66 + 204 + 1 = 666.

It is not a de Polignac number, because 29967668662041 - 2⁹ = 29967668661529 is a prime.

It is a super-2 number, since 2×29967668662041² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29967668662091) 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 in 95 ways as a sum of consecutive naturals, for example, 2576085361 + ... + 2576096993.

It is an arithmetic number, because the mean of its divisors is an integer number (498943425708).

Almost surely, 2^{29967668662041} is an apocalyptic number.

It is an amenable number.

29967668662041 is a deficient number, since it is larger than the sum of its proper divisors (17930900205927).

29967668662041 is a wasteful number, since it uses less digits than its factorization.

29967668662041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12788 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 29967668662041 in words is "twenty-nine trillion, nine hundred sixty-seven billion, six hundred sixty-eight million, six hundred sixty-two thousand, forty-one".