34144014043311 has 32 divisors (see below), whose sum is σ = 46890275328000. Its totient is φ = 22090190704608.

The previous prime is 34144014043277. The next prime is 34144014043351. The reversal of 34144014043311 is 11334041044143.

It is not a de Polignac number, because 34144014043311 - 2¹⁹ = 34144013519023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144014043351) 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 31 ways as a sum of consecutive naturals, for example, 91584400 + ... + 91956458.

It is an arithmetic number, because the mean of its divisors is an integer number (1465321104000).

Almost surely, 2^{34144014043311} is an apocalyptic number.

34144014043311 is a deficient number, since it is larger than the sum of its proper divisors (12746261284689).

34144014043311 is a wasteful number, since it uses less digits than its factorization.

34144014043311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378763.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 34144014043311 its reverse (11334041044143), we get a palindrome (45478055087454).

The spelling of 34144014043311 in words is "thirty-four trillion, one hundred forty-four billion, fourteen million, forty-three thousand, three hundred eleven".