34244516614057 has 2 divisors, whose sum is σ = 34244516614058. Its totient is φ = 34244516614056.

The previous prime is 34244516614003. The next prime is 34244516614093. The reversal of 34244516614057 is 75041661544243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24943791629376 + 9300724984681 = 4994376^2 + 3049709^2 .

It is a cyclic number.

It is not a de Polignac number, because 34244516614057 - 2³⁵ = 34210156875689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34244516613995 and 34244516614013.

It is not a weakly prime, because it can be changed into another prime (34244516614657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17122258307028 + 17122258307029.

It is an arithmetic number, because the mean of its divisors is an integer number (17122258307029).

Almost surely, 2^{34244516614057} is an apocalyptic number.

It is an amenable number.

34244516614057 is a deficient number, since it is larger than the sum of its proper divisors (1).

34244516614057 is an equidigital number, since it uses as much as digits as its factorization.

34244516614057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 34244516614057 in words is "thirty-four trillion, two hundred forty-four billion, five hundred sixteen million, six hundred fourteen thousand, fifty-seven".