29993667164117 has 2 divisors, whose sum is σ = 29993667164118. Its totient is φ = 29993667164116.

The previous prime is 29993667164063. The next prime is 29993667164359. The reversal of 29993667164117 is 71146176639992.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21822267587761 + 8171399576356 = 4671431^2 + 2858566^2 .

It is a cyclic number.

It is not a de Polignac number, because 29993667164117 - 2⁸ = 29993667163861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29993667166117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14996833582058 + 14996833582059.

It is an arithmetic number, because the mean of its divisors is an integer number (14996833582059).

Almost surely, 2^{29993667164117} is an apocalyptic number.

It is an amenable number.

29993667164117 is a deficient number, since it is larger than the sum of its proper divisors (1).

29993667164117 is an equidigital number, since it uses as much as digits as its factorization.

29993667164117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 185177664, while the sum is 71.

The spelling of 29993667164117 in words is "twenty-nine trillion, nine hundred ninety-three billion, six hundred sixty-seven million, one hundred sixty-four thousand, one hundred seventeen".