126768654657 has 24 divisors (see below), whose sum is σ = 183523168296. Its totient is φ = 84322031616.

The previous prime is 126768654653. The next prime is 126768654667. The reversal of 126768654657 is 756456867621.

126768654657 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 6 + 86 + 546 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36998907201 + 89769747456 = 192351^2 + 299616^2 .

It is not a de Polignac number, because 126768654657 - 2² = 126768654653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126768654594 and 126768654603.

It is not an unprimeable number, because it can be changed into a prime (126768654653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12234723 + ... + 12245079.

It is an arithmetic number, because the mean of its divisors is an integer number (7646798679).

Almost surely, 2^126768654657 is an apocalyptic number.

It is an amenable number.

126768654657 is a deficient number, since it is larger than the sum of its proper divisors (56754513639).

126768654657 is a wasteful number, since it uses less digits than its factorization.

126768654657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13294 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 126768654657 in words is "one hundred twenty-six billion, seven hundred sixty-eight million, six hundred fifty-four thousand, six hundred fifty-seven".