4164513865512 has 1152 divisors, whose sum is σ = 14945815543680. Its totient is φ = 950339174400.

The previous prime is 4164513865511. The next prime is 4164513865517. The reversal of 4164513865512 is 2155683154614.

4164513865512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4164513865511) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11797489528 + ... + 11797489880.

It is an arithmetic number, because the mean of its divisors is an integer number (12973798215).

Almost surely, 2^{4164513865512} is an apocalyptic number.

4164513865512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164513865512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472907771840).

4164513865512 is an abundant number, since it is smaller than the sum of its proper divisors (10781301678168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4164513865512 is a wasteful number, since it uses less digits than its factorization.

4164513865512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 493 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 51.

The spelling of 4164513865512 in words is "four trillion, one hundred sixty-four billion, five hundred thirteen million, eight hundred sixty-five thousand, five hundred twelve".