34122324444001 has 16 divisors (see below), whose sum is σ = 35505194694400. Its totient is φ = 32764102345728.

The previous prime is 34122324443989. The next prime is 34122324444041. The reversal of 34122324444001 is 10044442322143.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34122324444001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34122324444041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3286465 + ... + 8890753.

It is an arithmetic number, because the mean of its divisors is an integer number (2219074668400).

Almost surely, 2^{34122324444001} is an apocalyptic number.

It is an amenable number.

34122324444001 is a deficient number, since it is larger than the sum of its proper divisors (1382870250399).

34122324444001 is a wasteful number, since it uses less digits than its factorization.

34122324444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606488.

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 34122324444001 its reverse (10044442322143), we get a palindrome (44166766766144).

The spelling of 34122324444001 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred twenty-four million, four hundred forty-four thousand, one".