29804185781041 has 27 divisors (see below), whose sum is σ = 34872949372779. Its totient is φ = 25397896830768.

The previous prime is 29804185781021. The next prime is 29804185781047. The reversal of 29804185781041 is 14018758140892.

It is a happy number.

The square root of 29804185781041 is 5459321.

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., 29776829944225 + 27355836816 = 5456815^2 + 165396^2 .

It is not a de Polignac number, because 29804185781041 - 2⁷ = 29804185780913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29804185781047) 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, 6840527035 + ... + 6840531391.

Almost surely, 2^{29804185781041} is an apocalyptic number.

29804185781041 is the 5459321-st square number.

29804185781041 is the 2729661-st centered octagonal number.

It is an amenable number.

29804185781041 is a deficient number, since it is larger than the sum of its proper divisors (5068763591738).

29804185781041 is an frugal number, since it uses more digits than its factorization.

29804185781041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 58.

The spelling of 29804185781041 in words is "twenty-nine trillion, eight hundred four billion, one hundred eighty-five million, seven hundred eighty-one thousand, forty-one".