34144224120033 has 8 divisors (see below), whose sum is σ = 46756054651008. Its totient is φ = 22147604834544.

The previous prime is 34144224120029. The next prime is 34144224120077. The reversal of 34144224120033 is 33002142244143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34144224120033 - 2² = 34144224120029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34144224119976 and 34144224120003.

It is not an unprimeable number, because it can be changed into a prime (34144224120023) 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 7 ways as a sum of consecutive naturals, for example, 153802811241 + ... + 153802811462.

It is an arithmetic number, because the mean of its divisors is an integer number (5844506831376).

Almost surely, 2^{34144224120033} is an apocalyptic number.

It is an amenable number.

34144224120033 is a deficient number, since it is larger than the sum of its proper divisors (12611830530975).

34144224120033 is a wasteful number, since it uses less digits than its factorization.

34144224120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307605622743.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34144224120033 its reverse (33002142244143), we get a palindrome (67146366364176).

The spelling of 34144224120033 in words is "thirty-four trillion, one hundred forty-four billion, two hundred twenty-four million, one hundred twenty thousand, thirty-three".