34114424414301 has 96 divisors (see below), whose sum is σ = 63073893043200. Its totient is φ = 17613053488800.

The previous prime is 34114424414299. The next prime is 34114424414303. The reversal of 34114424414301 is 10341442441143.

34114424414301 is a `hidden beast` number, since 3 + 41 + 144 + 2 + 4 + 41 + 430 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (34114424414299) and next prime (34114424414303).

It is not a de Polignac number, because 34114424414301 - 2¹ = 34114424414299 is a prime.

It is a super-2 number, since 2×34114424414301² (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 (34114424414303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2453286 + ... + 8616696.

It is an arithmetic number, because the mean of its divisors is an integer number (657019719200).

Almost surely, 2^{34114424414301} is an apocalyptic number.

It is an amenable number.

34114424414301 is a deficient number, since it is larger than the sum of its proper divisors (28959468628899).

34114424414301 is a wasteful number, since it uses less digits than its factorization.

34114424414301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6163612 (or 6163595 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 34114424414301 its reverse (10341442441143), we get a palindrome (44455866855444).

The spelling of 34114424414301 in words is "thirty-four trillion, one hundred fourteen billion, four hundred twenty-four million, four hundred fourteen thousand, three hundred one".