29254514688001 has 2 divisors, whose sum is σ = 29254514688002. Its totient is φ = 29254514688000.

The previous prime is 29254514687999. The next prime is 29254514688079. The reversal of 29254514688001 is 10088641545292.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17465077407376 + 11789437280625 = 4179124^2 + 3433575^2 .

It is a cyclic number.

It is not a de Polignac number, because 29254514688001 - 2¹ = 29254514687999 is a prime.

Together with 29254514687999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (29254514688101) 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 as a sum of consecutive naturals, namely, 14627257344000 + 14627257344001.

It is an arithmetic number, because the mean of its divisors is an integer number (14627257344001).

Almost surely, 2^{29254514688001} is an apocalyptic number.

It is an amenable number.

29254514688001 is a deficient number, since it is larger than the sum of its proper divisors (1).

29254514688001 is an equidigital number, since it uses as much as digits as its factorization.

29254514688001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 29254514688001 in words is "twenty-nine trillion, two hundred fifty-four billion, five hundred fourteen million, six hundred eighty-eight thousand, one".