126958409793 has 6 divisors (see below), whose sum is σ = 183384369714. Its totient is φ = 84638939856.

The previous prime is 126958409791. The next prime is 126958409797. The reversal of 126958409793 is 397904859621.

It can be written as a sum of positive squares in only one way, i.e., 123293681424 + 3664728369 = 351132^2 + 60537^2 .

It is not a de Polignac number, because 126958409793 - 2¹ = 126958409791 is a prime.

It is a super-2 number, since 2×126958409793² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126958409793.

It is not an unprimeable number, because it can be changed into a prime (126958409791) 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 5 ways as a sum of consecutive naturals, for example, 7053244980 + ... + 7053244997.

It is an arithmetic number, because the mean of its divisors is an integer number (30564061619).

It is a 1-persistent number, because it is pandigital, but 2⋅126958409793 = 253916819586 is not.

Almost surely, 2^126958409793 is an apocalyptic number.

It is an amenable number.

126958409793 is a deficient number, since it is larger than the sum of its proper divisors (56425959921).

126958409793 is a wasteful number, since it uses less digits than its factorization.

126958409793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106489983 (or 14106489980 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 126958409793 in words is "one hundred twenty-six billion, nine hundred fifty-eight million, four hundred nine thousand, seven hundred ninety-three".