126006146401617 has 20 divisors (see below), whose sum is σ = 188832782209060. Its totient is φ = 83735713885824.

The previous prime is 126006146401607. The next prime is 126006146401649. The reversal of 126006146401617 is 716104641600621.

126006146401617 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 0 + 614 + 6 + 4 + 0 + 16 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9241502720256 + 116764643681361 = 3039984^2 + 10805769^2 .

It is not a de Polignac number, because 126006146401617 - 2³¹ = 126003998917969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126006146401607) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2485008892 + ... + 2485059597.

It is an arithmetic number, because the mean of its divisors is an integer number (9441639110453).

Almost surely, 2^{126006146401617} is an apocalyptic number.

It is an amenable number.

126006146401617 is a deficient number, since it is larger than the sum of its proper divisors (62826635807443).

126006146401617 is an equidigital number, since it uses as much as digits as its factorization.

126006146401617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970068814 (or 4970068805 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 126006146401617 in words is "one hundred twenty-six trillion, six billion, one hundred forty-six million, four hundred one thousand, six hundred seventeen".