264404045302349 has 2 divisors, whose sum is σ = 264404045302350. Its totient is φ = 264404045302348.

The previous prime is 264404045302303. The next prime is 264404045302373. The reversal of 264404045302349 is 943203540404462.

264404045302349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261270855015625 + 3133190286724 = 16163875^2 + 1770082^2 .

It is a cyclic number.

It is not a de Polignac number, because 264404045302349 - 2⁸ = 264404045302093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264404045302297 and 264404045302306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264404045302249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132202022651174 + 132202022651175.

It is an arithmetic number, because the mean of its divisors is an integer number (132202022651175).

Almost surely, 2^{264404045302349} is an apocalyptic number.

It is an amenable number.

264404045302349 is a deficient number, since it is larger than the sum of its proper divisors (1).

264404045302349 is an equidigital number, since it uses as much as digits as its factorization.

264404045302349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9953280, while the sum is 50.

The spelling of 264404045302349 in words is "two hundred sixty-four trillion, four hundred four billion, forty-five million, three hundred two thousand, three hundred forty-nine".