2143014838272 has 2016 divisors, whose sum is σ = 8527774574592. Its totient is φ = 525533184000.

The previous prime is 2143014838271. The next prime is 2143014838291. The reversal of 2143014838272 is 2728384103412.

2143014838272 is a `hidden beast` number, since 2 + 1 + 4 + 301 + 48 + 38 + 272 = 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 (2143014838271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52268654572 + ... + 52268654612.

It is an arithmetic number, because the mean of its divisors is an integer number (4230046912).

Almost surely, 2^{2143014838272} is an apocalyptic number.

2143014838272 is a gapful number since it is divisible by the number (22) 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 2143014838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263887287296).

2143014838272 is an abundant number, since it is smaller than the sum of its proper divisors (6384759736320).

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

2143014838272 is an equidigital number, since it uses as much as digits as its factorization.

2143014838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2143014838272 in words is "two trillion, one hundred forty-three billion, fourteen million, eight hundred thirty-eight thousand, two hundred seventy-two".