126631645065 has 24 divisors (see below), whose sum is σ = 219620199240. Its totient is φ = 67498308864.

The previous prime is 126631645061. The next prime is 126631645067. The reversal of 126631645065 is 560546136621.

126631645065 is a `hidden beast` number, since 1 + 2 + 6 + 631 + 6 + 4 + 5 + 0 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 126629934201 = 1308^2 + 355851^2 .

It is not a de Polignac number, because 126631645065 - 2² = 126631645061 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126631645065.

It is not an unprimeable number, because it can be changed into a prime (126631645061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723750 + ... + 881519.

It is an arithmetic number, because the mean of its divisors is an integer number (9150841635).

Almost surely, 2^126631645065 is an apocalyptic number.

126631645065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126631645065 is a deficient number, since it is larger than the sum of its proper divisors (92988554175).

126631645065 is a wasteful number, since it uses less digits than its factorization.

126631645065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607033 (or 1607030 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 126631645065 in words is "one hundred twenty-six billion, six hundred thirty-one million, six hundred forty-five thousand, sixty-five".