34014441961 has 2 divisors, whose sum is σ = 34014441962. Its totient is φ = 34014441960.

The previous prime is 34014441947. The next prime is 34014442031. The reversal of 34014441961 is 16914441043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28470150361 + 5544291600 = 168731^2 + 74460^2 .

It is a cyclic number.

It is not a de Polignac number, because 34014441961 - 2¹⁵ = 34014409193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34014441961.

It is not a weakly prime, because it can be changed into another prime (34014442961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17007220980 + 17007220981.

It is an arithmetic number, because the mean of its divisors is an integer number (17007220981).

Almost surely, 2^34014441961 is an apocalyptic number.

It is an amenable number.

34014441961 is a deficient number, since it is larger than the sum of its proper divisors (1).

34014441961 is an equidigital number, since it uses as much as digits as its factorization.

34014441961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 34014441961 in words is "thirty-four billion, fourteen million, four hundred forty-one thousand, nine hundred sixty-one".