29997984464161 has 16 divisors (see below), whose sum is σ = 34482758175360. Its totient is φ = 25563239412480.

The previous prime is 29997984464159. The next prime is 29997984464177. The reversal of 29997984464161 is 16146448979992.

It is a happy number.

It is not a de Polignac number, because 29997984464161 - 2¹ = 29997984464159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29997984461161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6114891 + ... + 9868528.

It is an arithmetic number, because the mean of its divisors is an integer number (2155172385960).

Almost surely, 2^{29997984464161} is an apocalyptic number.

It is an amenable number.

29997984464161 is a deficient number, since it is larger than the sum of its proper divisors (4484773711199).

29997984464161 is a wasteful number, since it uses less digits than its factorization.

29997984464161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15984984.

The product of its digits is 1693052928, while the sum is 79.

The spelling of 29997984464161 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred eighty-four million, four hundred sixty-four thousand, one hundred sixty-one".