438082337365157 has 2 divisors, whose sum is σ = 438082337365158. Its totient is φ = 438082337365156.

The previous prime is 438082337365133. The next prime is 438082337365159. The reversal of 438082337365157 is 751563733280834.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403149816545281 + 34932520819876 = 20078591^2 + 5910374^2 .

It is a cyclic number.

It is not a de Polignac number, because 438082337365157 - 2⁴² = 433684290854053 is a prime.

It is a super-2 number, since 2×438082337365157² (a number of 30 digits) contains 22 as substring.

Together with 438082337365159, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 438082337365093 and 438082337365102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (438082337365159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 219041168682578 + 219041168682579.

It is an arithmetic number, because the mean of its divisors is an integer number (219041168682579).

Almost surely, 2^{438082337365157} is an apocalyptic number.

It is an amenable number.

438082337365157 is a deficient number, since it is larger than the sum of its proper divisors (1).

438082337365157 is an equidigital number, since it uses as much as digits as its factorization.

438082337365157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 304819200, while the sum is 65.

The spelling of 438082337365157 in words is "four hundred thirty-eight trillion, eighty-two billion, three hundred thirty-seven million, three hundred sixty-five thousand, one hundred fifty-seven".