34144342112001 has 24 divisors (see below), whose sum is σ = 49728858479136. Its totient is φ = 20666758311040.

The previous prime is 34144342111933. The next prime is 34144342112129. The reversal of 34144342112001 is 10021124344143.

It is a happy number.

It is not a de Polignac number, because 34144342112001 - 2¹⁷ = 34144341980929 is a prime.

It is a super-2 number, since 2×34144342112001² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34144342112001.

It is not an unprimeable number, because it can be changed into a prime (34144342102001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18852661 + ... + 20584253.

It is an arithmetic number, because the mean of its divisors is an integer number (2072035769964).

Almost surely, 2^{34144342112001} is an apocalyptic number.

It is an amenable number.

34144342112001 is a deficient number, since it is larger than the sum of its proper divisors (15584516367135).

34144342112001 is an equidigital number, since it uses as much as digits as its factorization.

34144342112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733153 (or 1732380 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 34144342112001 its reverse (10021124344143), we get a palindrome (44165466456144).

The spelling of 34144342112001 in words is "thirty-four trillion, one hundred forty-four billion, three hundred forty-two million, one hundred twelve thousand, one".