34262444426257 has 2 divisors, whose sum is σ = 34262444426258. Its totient is φ = 34262444426256.

The previous prime is 34262444426237. The next prime is 34262444426261. The reversal of 34262444426257 is 75262444426243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31678706451456 + 2583737974801 = 5628384^2 + 1607401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34262444426257 is a prime.

It is a super-2 number, since 2×34262444426257² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34262444426198 and 34262444426207.

It is not a weakly prime, because it can be changed into another prime (34262444426227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17131222213128 + 17131222213129.

It is an arithmetic number, because the mean of its divisors is an integer number (17131222213129).

Almost surely, 2^{34262444426257} is an apocalyptic number.

It is an amenable number.

34262444426257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34262444426257 is an equidigital number, since it uses as much as digits as its factorization.

34262444426257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61931520, while the sum is 55.

The spelling of 34262444426257 in words is "thirty-four trillion, two hundred sixty-two billion, four hundred forty-four million, four hundred twenty-six thousand, two hundred fifty-seven".