34224214011053 has 24 divisors (see below), whose sum is σ = 38336855974200. Its totient is φ = 30518936814080.

The previous prime is 34224214011047. The next prime is 34224214011061. The reversal of 34224214011053 is 35011041242243.

It can be written as a sum of positive squares in 4 ways, for example, as 427175966569 + 33797038044484 = 653587^2 + 5813522^2 .

It is not a de Polignac number, because 34224214011053 - 2¹⁸ = 34224213748909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34224214011853) 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 23 ways as a sum of consecutive naturals, for example, 27669713 + ... + 28880121.

It is an arithmetic number, because the mean of its divisors is an integer number (1597368998925).

Almost surely, 2^{34224214011053} is an apocalyptic number.

It is an amenable number.

34224214011053 is a deficient number, since it is larger than the sum of its proper divisors (4112641963147).

34224214011053 is a wasteful number, since it uses less digits than its factorization.

34224214011053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214893 (or 1214882 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 34224214011053 its reverse (35011041242243), we get a palindrome (69235255253296).

The spelling of 34224214011053 in words is "thirty-four trillion, two hundred twenty-four billion, two hundred fourteen million, eleven thousand, fifty-three".