29990617424161 has 9 divisors (see below), whose sum is σ = 31351382022289. Its totient is φ = 28686557056036.

The previous prime is 29990617424143. The next prime is 29990617424177. The reversal of 29990617424161 is 16142471609992.

The square root of 29990617424161 is 5476369.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-29990617424161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29990617424161.

It is not an unprimeable number, because it can be changed into a prime (29990617424461) 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 8 ways as a sum of consecutive naturals, for example, 125837436 + ... + 126075538.

Almost surely, 2^{29990617424161} is an apocalyptic number.

29990617424161 is the 5476369-th square number.

29990617424161 is the 2738185-th centered octagonal number.

It is an amenable number.

29990617424161 is a deficient number, since it is larger than the sum of its proper divisors (1360764598128).

29990617424161 is an frugal number, since it uses more digits than its factorization.

29990617424161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476252 (or 238126 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 29990617424161 in words is "twenty-nine trillion, nine hundred ninety billion, six hundred seventeen million, four hundred twenty-four thousand, one hundred sixty-one".