2163414775872 has 224 divisors, whose sum is σ = 6565479782400. Its totient is φ = 615880691712.

The previous prime is 2163414775871. The next prime is 2163414775901. The reversal of 2163414775872 is 2785774143612.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2163414775872² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2163414775871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581717629 + ... + 581721347.

It is an arithmetic number, because the mean of its divisors is an integer number (29310177600).

Almost surely, 2^{2163414775872} 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 2163414775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282739891200).

2163414775872 is an abundant number, since it is smaller than the sum of its proper divisors (4402065006528).

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

2163414775872 is a wasteful number, since it uses less digits than its factorization.

2163414775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5183 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 57.

The spelling of 2163414775872 in words is "two trillion, one hundred sixty-three billion, four hundred fourteen million, seven hundred seventy-five thousand, eight hundred seventy-two".