29432805890401 has 3 divisors (see below), whose sum is σ = 29432811315603. Its totient is φ = 29432800465200.

The previous prime is 29432805890387. The next prime is 29432805890489. The reversal of 29432805890401 is 10409850823492.

It is a happy number.

The square root of 29432805890401 is 5425201.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 24355715392801 + 5077090497600 = 4935151^2 + 2253240^2 .

It is not a de Polignac number, because 29432805890401 - 2⁹ = 29432805889889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29432805890801) 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 2 ways as a sum of consecutive naturals, for example, 2712601 + ... + 8137801.

It is an arithmetic number, because the mean of its divisors is an integer number (9810937105201).

Almost surely, 2^{29432805890401} is an apocalyptic number.

29432805890401 is the 5425201-st square number.

29432805890401 is the 2712601-st centered octagonal number.

It is an amenable number.

29432805890401 is a deficient number, since it is larger than the sum of its proper divisors (5425202).

29432805890401 is an frugal number, since it uses more digits than its factorization.

29432805890401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850402 (or 5425201 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 29432805890401 in words is "twenty-nine trillion, four hundred thirty-two billion, eight hundred five million, eight hundred ninety thousand, four hundred one".