29221855638849 has 192 divisors, whose sum is σ = 45966012579840. Its totient is φ = 18342288518400.

The previous prime is 29221855638799. The next prime is 29221855638889. The reversal of 29221855638849 is 94883655812292.

It is a happy number.

29221855638849 is a `hidden beast` number, since 2 + 9 + 2 + 2 + 18 + 5 + 563 + 8 + 8 + 49 = 666.

It is not a de Polignac number, because 29221855638849 - 2⁷ = 29221855638721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29221855638889) 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 191 ways as a sum of consecutive naturals, for example, 79623584664 + ... + 79623585030.

It is an arithmetic number, because the mean of its divisors is an integer number (239406315520).

Almost surely, 2^{29221855638849} is an apocalyptic number.

It is an amenable number.

29221855638849 is a deficient number, since it is larger than the sum of its proper divisors (16744156940991).

29221855638849 is a wasteful number, since it uses less digits than its factorization.

29221855638849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 932 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 29221855638849 in words is "twenty-nine trillion, two hundred twenty-one billion, eight hundred fifty-five million, six hundred thirty-eight thousand, eight hundred forty-nine".