4164252185616 has 160 divisors (see below), whose sum is σ = 11638338432000. Its totient is φ = 1278556669440.

The previous prime is 4164252185609. The next prime is 4164252185627. The reversal of 4164252185616 is 6165812524614.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47163751 + ... + 47251961.

It is an arithmetic number, because the mean of its divisors is an integer number (72739615200).

Almost surely, 2^{4164252185616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164252185616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819169216000).

4164252185616 is an abundant number, since it is smaller than the sum of its proper divisors (7474086246384).

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

4164252185616 is a wasteful number, since it uses less digits than its factorization.

4164252185616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89677 (or 89671 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 4164252185616 in words is "four trillion, one hundred sixty-four billion, two hundred fifty-two million, one hundred eighty-five thousand, six hundred sixteen".