34444300054221 has 32 divisors (see below), whose sum is σ = 53280865566720. Its totient is φ = 21950605342512.

The previous prime is 34444300054189. The next prime is 34444300054223. The reversal of 34444300054221 is 12245000344443.

34444300054221 is a `hidden beast` number, since 3 + 44 + 44 + 30 + 0 + 0 + 542 + 2 + 1 = 666.

It is not a de Polignac number, because 34444300054221 - 2⁵ = 34444300054189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444300054223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16536181 + ... + 18502266.

It is an arithmetic number, because the mean of its divisors is an integer number (1665027048960).

Almost surely, 2^{34444300054221} is an apocalyptic number.

It is an amenable number.

34444300054221 is a deficient number, since it is larger than the sum of its proper divisors (18836565512499).

34444300054221 is a wasteful number, since it uses less digits than its factorization.

34444300054221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35040062 (or 35040056 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 34444300054221 its reverse (12245000344443), we get a palindrome (46689300398664).

The spelling of 34444300054221 in words is "thirty-four trillion, four hundred forty-four billion, three hundred million, fifty-four thousand, two hundred twenty-one".