29488101841 has 27 divisors (see below), whose sum is σ = 33045354363. Its totient is φ = 26293919520.

The previous prime is 29488101833. The next prime is 29488101857. The reversal of 29488101841 is 14810188492.

The square root of 29488101841 is 171721.

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., 5988438225 + 23499663616 = 77385^2 + 153296^2 .

It is not a de Polignac number, because 29488101841 - 2³ = 29488101833 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29488101791 and 29488101800.

It is not an unprimeable number, because it can be changed into a prime (29488101241) 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 26 ways as a sum of consecutive naturals, for example, 126558261 + ... + 126558493.

Almost surely, 2^29488101841 is an apocalyptic number.

29488101841 is the 171721-st square number.

29488101841 is the 85861-st centered octagonal number.

It is an amenable number.

29488101841 is a deficient number, since it is larger than the sum of its proper divisors (3557252522).

29488101841 is an frugal number, since it uses more digits than its factorization.

29488101841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 29488101841 in words is "twenty-nine billion, four hundred eighty-eight million, one hundred one thousand, eight hundred forty-one".