8166411101313 has 48 divisors (see below), whose sum is σ = 12989092986240. Its totient is φ = 5066821130976.

The previous prime is 8166411101309. The next prime is 8166411101339. The reversal of 8166411101313 is 3131011146618.

It is a happy number.

8166411101313 is a `hidden beast` number, since 8 + 1 + 6 + 641 + 1 + 1 + 0 + 1 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 8166411101313 - 2² = 8166411101309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8166411101713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7197981 + ... + 8254922.

It is an arithmetic number, because the mean of its divisors is an integer number (270606103880).

Almost surely, 2^{8166411101313} is an apocalyptic number.

It is an amenable number.

8166411101313 is a deficient number, since it is larger than the sum of its proper divisors (4822681884927).

8166411101313 is a wasteful number, since it uses less digits than its factorization.

8166411101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15452995 (or 15452966 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 8166411101313 in words is "eight trillion, one hundred sixty-six billion, four hundred eleven million, one hundred one thousand, three hundred thirteen".