29997563013141 has 16 divisors (see below), whose sum is σ = 40149824674176. Its totient is φ = 19921894696256.

The previous prime is 29997563013133. The next prime is 29997563013149. The reversal of 29997563013141 is 14131036579992.

It is an interprime number because it is at equal distance from previous prime (29997563013133) and next prime (29997563013149).

It is a cyclic number.

It is not a de Polignac number, because 29997563013141 - 2³ = 29997563013133 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29997563013149) 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 in 15 ways as a sum of consecutive naturals, for example, 4912470 + ... + 9172103.

It is an arithmetic number, because the mean of its divisors is an integer number (2509364042136).

Almost surely, 2^{29997563013141} is an apocalyptic number.

It is an amenable number.

29997563013141 is a deficient number, since it is larger than the sum of its proper divisors (10152261661035).

29997563013141 is a wasteful number, since it uses less digits than its factorization.

29997563013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14087292.

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 29997563013141 in words is "twenty-nine trillion, nine hundred ninety-seven billion, five hundred sixty-three million, thirteen thousand, one hundred forty-one".