126427693416049 has 27 divisors (see below), whose sum is σ = 129041782715937. Its totient is φ = 123866139961344.

The previous prime is 126427693416041. The next prime is 126427693416103. The reversal of 126427693416049 is 940614396724621.

It is a happy number.

The square root of 126427693416049 is 11244007.

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 17267407335649 + 109160286080400 = 4155407^2 + 10447980^2 .

It is not a de Polignac number, because 126427693416049 - 2³ = 126427693416041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126427693416041) 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, 193610556207 + ... + 193610556859.

Almost surely, 2^{126427693416049} is an apocalyptic number.

126427693416049 is the 11244007-th square number.

126427693416049 is the 5622004-th centered octagonal number.

It is an amenable number.

126427693416049 is a deficient number, since it is larger than the sum of its proper divisors (2614089299888).

126427693416049 is an frugal number, since it uses more digits than its factorization.

126427693416049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 64.

The spelling of 126427693416049 in words is "one hundred twenty-six trillion, four hundred twenty-seven billion, six hundred ninety-three million, four hundred sixteen thousand, forty-nine".