34294211976961 has 2 divisors, whose sum is σ = 34294211976962. Its totient is φ = 34294211976960.

The previous prime is 34294211976839. The next prime is 34294211977007. The reversal of 34294211976961 is 16967911249243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30945366876736 + 3348845100225 = 5562856^2 + 1829985^2 .

It is an emirp because it is prime and its reverse (16967911249243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34294211976961 - 2¹⁷ = 34294211845889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34294211976893 and 34294211976902.

It is not a weakly prime, because it can be changed into another prime (34294211976061) 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, 17147105988480 + 17147105988481.

It is an arithmetic number, because the mean of its divisors is an integer number (17147105988481).

Almost surely, 2^{34294211976961} is an apocalyptic number.

It is an amenable number.

34294211976961 is a deficient number, since it is larger than the sum of its proper divisors (1).

34294211976961 is an equidigital number, since it uses as much as digits as its factorization.

34294211976961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35271936, while the sum is 64.

The spelling of 34294211976961 in words is "thirty-four trillion, two hundred ninety-four billion, two hundred eleven million, nine hundred seventy-six thousand, nine hundred sixty-one".