34144313186017 has 16 divisors (see below), whose sum is σ = 34522919418240. Its totient is φ = 33767663529600.

The previous prime is 34144313185987. The next prime is 34144313186051. The reversal of 34144313186017 is 71068131344143.

It is a cyclic number.

It is not a de Polignac number, because 34144313186017 - 2¹¹ = 34144313183969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34144313186117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52234084 + ... + 52883722.

It is an arithmetic number, because the mean of its divisors is an integer number (2157682463640).

Almost surely, 2^{34144313186017} is an apocalyptic number.

It is an amenable number.

34144313186017 is a deficient number, since it is larger than the sum of its proper divisors (378606232223).

34144313186017 is a wasteful number, since it uses less digits than its factorization.

34144313186017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651144.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 34144313186017 in words is "thirty-four trillion, one hundred forty-four billion, three hundred thirteen million, one hundred eighty-six thousand, seventeen".