2182127115168 has 1728 divisors, whose sum is σ = 9104484654720. Its totient is φ = 504780595200.

The previous prime is 2182127115167. The next prime is 2182127115169. The reversal of 2182127115168 is 8615117212812.

2182127115168 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 127 + 1 + 1 + 516 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2182127115167) and next prime (2182127115169).

It is not an unprimeable number, because it can be changed into a prime (2182127115167) 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, 1580105838 + ... + 1580107218.

It is an arithmetic number, because the mean of its divisors is an integer number (5268798990).

Almost surely, 2^{2182127115168} is an apocalyptic number.

2182127115168 is a gapful number since it is divisible by the number (28) 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 2182127115168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552242327360).

2182127115168 is an abundant number, since it is smaller than the sum of its proper divisors (6922357539552).

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

2182127115168 is a wasteful number, since it uses less digits than its factorization.

2182127115168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1446 counting only the distinct ones).

The product of its digits is 107520, while the sum is 45.

The spelling of 2182127115168 in words is "two trillion, one hundred eighty-two billion, one hundred twenty-seven million, one hundred fifteen thousand, one hundred sixty-eight".