34144602505111 has 16 divisors (see below), whose sum is σ = 39665276170560. Its totient is φ = 28784723662080.

The previous prime is 34144602505099. The next prime is 34144602505127. The reversal of 34144602505111 is 11150520644143.

It is a cyclic number.

It is not a de Polignac number, because 34144602505111 - 2²⁷ = 34144468287383 is a prime.

It is a super-2 number, since 2×34144602505111² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144602505141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185965 + ... + 8547961.

It is an arithmetic number, because the mean of its divisors is an integer number (2479079760660).

Almost surely, 2^{34144602505111} is an apocalyptic number.

34144602505111 is a deficient number, since it is larger than the sum of its proper divisors (5520673665449).

34144602505111 is a wasteful number, since it uses less digits than its factorization.

34144602505111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374634.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 34144602505111 in words is "thirty-four trillion, one hundred forty-four billion, six hundred two million, five hundred five thousand, one hundred eleven".