126646318305 has 24 divisors (see below), whose sum is σ = 236406461928. Its totient is φ = 62348956416.

The previous prime is 126646318301. The next prime is 126646318339. The reversal of 126646318305 is 503813646621.

126646318305 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 4 + 631 + 8 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1289959056 + 125356359249 = 35916^2 + 354057^2 .

It is not a de Polignac number, because 126646318305 - 2² = 126646318301 is a prime.

It is a super-2 number, since 2×126646318305² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (126646318301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108244132 + ... + 108245301.

It is an arithmetic number, because the mean of its divisors is an integer number (9850269247).

Almost surely, 2^126646318305 is an apocalyptic number.

126646318305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126646318305 is a deficient number, since it is larger than the sum of its proper divisors (109760143623).

126646318305 is a wasteful number, since it uses less digits than its factorization.

126646318305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216489457 (or 216489454 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 126646318305 in words is "one hundred twenty-six billion, six hundred forty-six million, three hundred eighteen thousand, three hundred five".