126814279149 has 48 divisors (see below), whose sum is σ = 188611254000. Its totient is φ = 82074009600.

The previous prime is 126814279129. The next prime is 126814279157. The reversal of 126814279149 is 941972418621.

126814279149 is a `hidden beast` number, since 12 + 6 + 81 + 427 + 91 + 49 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16424216649 + 110390062500 = 128157^2 + 332250^2 .

It is not a de Polignac number, because 126814279149 - 2⁹ = 126814278637 is a prime.

It is a super-2 number, since 2×126814279149² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126814279095 and 126814279104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126814279129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31317877 + ... + 31321925.

It is an arithmetic number, because the mean of its divisors is an integer number (3929401125).

Almost surely, 2^126814279149 is an apocalyptic number.

It is an amenable number.

126814279149 is a deficient number, since it is larger than the sum of its proper divisors (61796974851).

126814279149 is a wasteful number, since it uses less digits than its factorization.

126814279149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4843 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 126814279149 in words is "one hundred twenty-six billion, eight hundred fourteen million, two hundred seventy-nine thousand, one hundred forty-nine".