126365605033441 has 2 divisors, whose sum is σ = 126365605033442. Its totient is φ = 126365605033440.

The previous prime is 126365605033333. The next prime is 126365605033471. The reversal of 126365605033441 is 144330506563621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120318412550625 + 6047192482816 = 10968975^2 + 2459104^2 .

It is a cyclic number.

It is not a de Polignac number, because 126365605033441 - 2⁷ = 126365605033313 is a prime.

It is a super-2 number, since 2×126365605033441² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (126365605033471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63182802516720 + 63182802516721.

It is an arithmetic number, because the mean of its divisors is an integer number (63182802516721).

Almost surely, 2^{126365605033441} is an apocalyptic number.

It is an amenable number.

126365605033441 is a deficient number, since it is larger than the sum of its proper divisors (1).

126365605033441 is an equidigital number, since it uses as much as digits as its factorization.

126365605033441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 126365605033441 in words is "one hundred twenty-six trillion, three hundred sixty-five billion, six hundred five million, thirty-three thousand, four hundred forty-one".