126756648841 has 9 divisors (see below), whose sum is σ = 127202892813. Its totient is φ = 126311968620.

The previous prime is 126756648797. The next prime is 126756648869. The reversal of 126756648841 is 148846657621.

The square root of 126756648841 is 356029.

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

It is not a de Polignac number, because 126756648841 - 2⁷ = 126756648713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126756642841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156296326 + ... + 156297136.

It is an arithmetic number, because the mean of its divisors is an integer number (14133654757).

Almost surely, 2^126756648841 is an apocalyptic number.

126756648841 is the 356029-th square number.

126756648841 is the 178015-th centered octagonal number.

It is an amenable number.

126756648841 is a deficient number, since it is larger than the sum of its proper divisors (446243972).

126756648841 is an frugal number, since it uses more digits than its factorization.

126756648841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 1250 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 58.

The spelling of 126756648841 in words is "one hundred twenty-six billion, seven hundred fifty-six million, six hundred forty-eight thousand, eight hundred forty-one".