34144402221 has 24 divisors (see below), whose sum is σ = 52559020800. Its totient is φ = 21309975456.

The previous prime is 34144402213. The next prime is 34144402223. The reversal of 34144402221 is 12220444143.

34144402221 is a `hidden beast` number, since 34 + 1 + 4 + 4 + 402 + 221 = 666.

It is not a de Polignac number, because 34144402221 - 2³ = 34144402213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144402223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1745046 + ... + 1764503.

It is an arithmetic number, because the mean of its divisors is an integer number (2189959200).

Almost surely, 2^34144402221 is an apocalyptic number.

It is an amenable number.

34144402221 is a deficient number, since it is larger than the sum of its proper divisors (18414618579).

34144402221 is a wasteful number, since it uses less digits than its factorization.

34144402221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509625 (or 3509622 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34144402221 its reverse (12220444143), we get a palindrome (46364846364).

The spelling of 34144402221 in words is "thirty-four billion, one hundred forty-four million, four hundred two thousand, two hundred twenty-one".