34205145315311 has 16 divisors (see below), whose sum is σ = 36460892213760. Its totient is φ = 31997516119200.

The previous prime is 34205145315301. The next prime is 34205145315389. The reversal of 34205145315311 is 11351354150243.

It is a cyclic number.

It is not a de Polignac number, because 34205145315311 - 2⁶ = 34205145315247 is a prime.

It is a super-2 number, since 2×34205145315311² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34205145315301) 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, 35216456 + ... + 36174701.

It is an arithmetic number, because the mean of its divisors is an integer number (2278805763360).

Almost surely, 2^{34205145315311} is an apocalyptic number.

34205145315311 is a deficient number, since it is larger than the sum of its proper divisors (2255746898449).

34205145315311 is a wasteful number, since it uses less digits than its factorization.

34205145315311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71391494.

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 34205145315311 its reverse (11351354150243), we get a palindrome (45556499465554).

The spelling of 34205145315311 in words is "thirty-four trillion, two hundred five billion, one hundred forty-five million, three hundred fifteen thousand, three hundred eleven".