34221244212243 has 96 divisors (see below), whose sum is σ = 57456117089280. Its totient is φ = 19423808363520.

The previous prime is 34221244212223. The next prime is 34221244212269.

34221244212243 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 1 + 2 + 4 + 421 + 224 + 3 = 666.

34221244212243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34221244212243 - 2⁶ = 34221244212179 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34221244212198 and 34221244212207.

It is not an unprimeable number, because it can be changed into a prime (34221244212223) 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 95 ways as a sum of consecutive naturals, for example, 22020898 + ... + 23523656.

It is an arithmetic number, because the mean of its divisors is an integer number (598501219680).

Almost surely, 2^{34221244212243} is an apocalyptic number.

34221244212243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34221244212243 is a deficient number, since it is larger than the sum of its proper divisors (23234872877037).

34221244212243 is a wasteful number, since it uses less digits than its factorization.

34221244212243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503009 (or 1503006 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 3422124 and 4212243, that added together give a palindrome (7634367).

The spelling of 34221244212243 in words is "thirty-four trillion, two hundred twenty-one billion, two hundred forty-four million, two hundred twelve thousand, two hundred forty-three".