34556413221 has 48 divisors (see below), whose sum is σ = 55433963520. Its totient is φ = 20566563360.

The previous prime is 34556413207. The next prime is 34556413223. The reversal of 34556413221 is 12231465543.

34556413221 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 641 + 3 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 34556413221 - 2¹³ = 34556405029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34556413223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6790540 + ... + 6795626.

It is an arithmetic number, because the mean of its divisors is an integer number (1154874240).

Almost surely, 2^34556413221 is an apocalyptic number.

It is an amenable number.

34556413221 is a deficient number, since it is larger than the sum of its proper divisors (20877550299).

34556413221 is a wasteful number, since it uses less digits than its factorization.

34556413221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6323 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 34556413221 its reverse (12231465543), we get a palindrome (46787878764).

The spelling of 34556413221 in words is "thirty-four billion, five hundred fifty-six million, four hundred thirteen thousand, two hundred twenty-one".