29970188161 has 9 divisors (see below), whose sum is σ = 30139932739. Its totient is φ = 29801397136.

The previous prime is 29970188113. The next prime is 29970188167. The reversal of 29970188161 is 16188107992.

The square root of 29970188161 is 173119.

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

It can be written as a sum of positive squares in only one way, i.e., 6086340225 + 23883847936 = 78015^2 + 154544^2 .

It is not a de Polignac number, because 29970188161 - 2²⁷ = 29835970433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29970188099 and 29970188108.

It is not an unprimeable number, because it can be changed into a prime (29970188167) 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, 40336356 + ... + 40337098.

Almost surely, 2^29970188161 is an apocalyptic number.

29970188161 is the 173119-th square number.

29970188161 is the 86560-th centered octagonal number.

It is an amenable number.

29970188161 is a deficient number, since it is larger than the sum of its proper divisors (169744578).

29970188161 is an frugal number, since it uses more digits than its factorization.

29970188161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 52.

The spelling of 29970188161 in words is "twenty-nine billion, nine hundred seventy million, one hundred eighty-eight thousand, one hundred sixty-one".