2161685014272 has 2016 divisors, whose sum is σ = 8493124147200. Its totient is φ = 534037266432.

The previous prime is 2161685014261. The next prime is 2161685014277. The reversal of 2161685014272 is 2724105861612.

2161685014272 is a `hidden beast` number, since 2 + 1 + 61 + 68 + 501 + 4 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161685014277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 19831972554 + ... + 19831972662.

It is an arithmetic number, because the mean of its divisors is an integer number (4212859200).

Almost surely, 2^{2161685014272} 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 2161685014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246562073600).

2161685014272 is an abundant number, since it is smaller than the sum of its proper divisors (6331439132928).

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

2161685014272 is a wasteful number, since it uses less digits than its factorization.

2161685014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2161685014272 in words is "two trillion, one hundred sixty-one billion, six hundred eighty-five million, fourteen thousand, two hundred seventy-two".