29080361249641 has 45 divisors (see below), whose sum is σ = 33483643167209. Its totient is φ = 25250926262016.

The previous prime is 29080361249629. The next prime is 29080361249647. The reversal of 29080361249641 is 14694216308092.

The square root of 29080361249641 is 5392621.

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

It can be written as a sum of positive squares in 22 ways, for example, as 25500772929241 + 3579588320400 = 5049829^2 + 1891980^2 .

It is not a de Polignac number, because 29080361249641 - 2²⁷ = 29080227031913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29080361249647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15492999195 + ... + 15493001071.

Almost surely, 2^{29080361249641} is an apocalyptic number.

29080361249641 is the 5392621-st square number.

29080361249641 is the 2696311-st centered octagonal number.

It is an amenable number.

29080361249641 is a deficient number, since it is larger than the sum of its proper divisors (4403281917568).

29080361249641 is an frugal number, since it uses more digits than its factorization.

29080361249641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 29080361249641 in words is "twenty-nine trillion, eighty billion, three hundred sixty-one million, two hundred forty-nine thousand, six hundred forty-one".