29800473558361 has 27 divisors (see below), whose sum is σ = 34243569101343. Its totient is φ = 25912254292320.

The previous prime is 29800473558353. The next prime is 29800473558379. The reversal of 29800473558361 is 16385537400892.

It is a happy number.

The square root of 29800473558361 is 5458981.

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., 25335467899225 + 4465005659136 = 5033435^2 + 2113056^2 .

It is not a de Polignac number, because 29800473558361 - 2³ = 29800473558353 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 29800473558361.

It is not an unprimeable number, because it can be changed into a prime (29800473558341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1381111405 + ... + 1381132981.

It is a 1-persistent number, because it is pandigital, but 2⋅29800473558361 = 59600947116722 is not.

Almost surely, 2^{29800473558361} is an apocalyptic number.

29800473558361 is the 5458981-st square number.

29800473558361 is the 2729491-st centered octagonal number.

It is an amenable number.

29800473558361 is a deficient number, since it is larger than the sum of its proper divisors (4443095542982).

29800473558361 is an frugal number, since it uses more digits than its factorization.

29800473558361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43222 (or 21611 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 29800473558361 in words is "twenty-nine trillion, eight hundred billion, four hundred seventy-three million, five hundred fifty-eight thousand, three hundred sixty-one".