4116513445011 has 48 divisors (see below), whose sum is σ = 6881793085440. Its totient is φ = 2344937636160.

The previous prime is 4116513444983. The next prime is 4116513445027. The reversal of 4116513445011 is 1105443156114.

4116513445011 is a `hidden beast` number, since 4 + 1 + 1 + 65 + 134 + 450 + 11 = 666.

It is not a de Polignac number, because 4116513445011 - 2¹⁴ = 4116513428627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4116513445061) 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 47 ways as a sum of consecutive naturals, for example, 8377140 + ... + 8854913.

It is an arithmetic number, because the mean of its divisors is an integer number (143370689280).

Almost surely, 2^{4116513445011} is an apocalyptic number.

4116513445011 is a deficient number, since it is larger than the sum of its proper divisors (2765279640429).

4116513445011 is a wasteful number, since it uses less digits than its factorization.

4116513445011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17232216 (or 17232213 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 4116513445011 in words is "four trillion, one hundred sixteen billion, five hundred thirteen million, four hundred forty-five thousand, eleven".