126349267389361 has 27 divisors (see below), whose sum is σ = 137580776198977. Its totient is φ = 116009350012160.

The previous prime is 126349267389353. The next prime is 126349267389379. The reversal of 126349267389361 is 163983762943621.

The square root of 126349267389361 is 11240519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8901242415025 + 117448024974336 = 2983495^2 + 10837344^2 .

It is not a de Polignac number, because 126349267389361 - 2³ = 126349267389353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126349267389391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7834633680 + ... + 7834649806.

Almost surely, 2^{126349267389361} is an apocalyptic number.

126349267389361 is the 11240519-th square number.

126349267389361 is the 5620260-th centered octagonal number.

It is an amenable number.

126349267389361 is a deficient number, since it is larger than the sum of its proper divisors (11231508809616).

126349267389361 is an frugal number, since it uses more digits than its factorization.

126349267389361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32370 (or 16185 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 70.

The spelling of 126349267389361 in words is "one hundred twenty-six trillion, three hundred forty-nine billion, two hundred sixty-seven million, three hundred eighty-nine thousand, three hundred sixty-one".