2165948183808 has 576 divisors, whose sum is σ = 6887462400000. Its totient is φ = 669394575360.

The previous prime is 2165948183807. The next prime is 2165948183813. The reversal of 2165948183808 is 8083818495612.

2165948183808 is a `hidden beast` number, since 2 + 1 + 6 + 594 + 8 + 1 + 8 + 38 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165948183807) 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 63 ways as a sum of consecutive naturals, for example, 1389318133 + ... + 1389319691.

It is an arithmetic number, because the mean of its divisors is an integer number (11957400000).

Almost surely, 2^{2165948183808} 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 2165948183808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443731200000).

2165948183808 is an abundant number, since it is smaller than the sum of its proper divisors (4721514216192).

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

2165948183808 is a wasteful number, since it uses less digits than its factorization.

2165948183808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 2165948183808 in words is "two trillion, one hundred sixty-five billion, nine hundred forty-eight million, one hundred eighty-three thousand, eight hundred eight".