34146145211701 has 2 divisors, whose sum is σ = 34146145211702. Its totient is φ = 34146145211700.

The previous prime is 34146145211593. The next prime is 34146145211809. The reversal of 34146145211701 is 10711254164143.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (34146145211593) and next prime (34146145211809).

It can be written as a sum of positive squares in only one way, i.e., 26093206638801 + 8052938572900 = 5108151^2 + 2837770^2 .

It is a cyclic number.

It is not a de Polignac number, because 34146145211701 - 2⁷ = 34146145211573 is a prime.

It is a super-2 number, since 2×34146145211701² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34146145211501) 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 as a sum of consecutive naturals, namely, 17073072605850 + 17073072605851.

It is an arithmetic number, because the mean of its divisors is an integer number (17073072605851).

Almost surely, 2^{34146145211701} is an apocalyptic number.

It is an amenable number.

34146145211701 is a deficient number, since it is larger than the sum of its proper divisors (1).

34146145211701 is an equidigital number, since it uses as much as digits as its factorization.

34146145211701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

Adding to 34146145211701 its reverse (10711254164143), we get a palindrome (44857399375844).

The spelling of 34146145211701 in words is "thirty-four trillion, one hundred forty-six billion, one hundred forty-five million, two hundred eleven thousand, seven hundred one".