126857579293449 has 27 divisors (see below), whose sum is σ = 189776650247509. Its totient is φ = 81654822604320.

The previous prime is 126857579293421. The next prime is 126857579293457. The reversal of 126857579293449 is 944392975758621.

The square root of 126857579293449 is 11263107.

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

126857579293449 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 5 + 7 + 579 + 2 + 9 + 34 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20099916123849 + 106757663169600 = 4483293^2 + 10332360^2 .

It is not a de Polignac number, because 126857579293449 - 2³¹ = 126855431809801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126857579293409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 979825579 + ... + 979955039.

Almost surely, 2^{126857579293449} is an apocalyptic number.

126857579293449 is the 11263107-th square number.

126857579293449 is the 5631554-th centered octagonal number.

It is an amenable number.

126857579293449 is a deficient number, since it is larger than the sum of its proper divisors (62919070954060).

126857579293449 is an frugal number, since it uses more digits than its factorization.

126857579293449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258986 (or 129493 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 81.

The spelling of 126857579293449 in words is "one hundred twenty-six trillion, eight hundred fifty-seven billion, five hundred seventy-nine million, two hundred ninety-three thousand, four hundred forty-nine".