126948410249 has 16 divisors (see below), whose sum is σ = 130753964880. Its totient is φ = 123177984000.

The previous prime is 126948410213. The next prime is 126948410261. The reversal of 126948410249 is 942014849621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13442083600 + 113506326649 = 115940^2 + 336907^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126948410249 is a prime.

It is a super-2 number, since 2×126948410249² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126948410197 and 126948410206.

It is not an unprimeable number, because it can be changed into a prime (126948410269) 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 15 ways as a sum of consecutive naturals, for example, 7985789 + ... + 8001669.

It is an arithmetic number, because the mean of its divisors is an integer number (8172122805).

Almost surely, 2^126948410249 is an apocalyptic number.

It is an amenable number.

126948410249 is a deficient number, since it is larger than the sum of its proper divisors (3805554631).

126948410249 is a wasteful number, since it uses less digits than its factorization.

126948410249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16972.

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 126948410249 in words is "one hundred twenty-six billion, nine hundred forty-eight million, four hundred ten thousand, two hundred forty-nine".