2144431100032 has 128 divisors (see below), whose sum is σ = 4825150767360. Its totient is φ = 941896445952.

The previous prime is 2144431099981. The next prime is 2144431100047. The reversal of 2144431100032 is 2300011344412.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7397373 + ... + 7681795.

It is an arithmetic number, because the mean of its divisors is an integer number (37696490370).

Almost surely, 2^{2144431100032} 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 2144431100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412575383680).

2144431100032 is an abundant number, since it is smaller than the sum of its proper divisors (2680719667328).

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

2144431100032 is a wasteful number, since it uses less digits than its factorization.

2144431100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284670 (or 284658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2144431100032 its reverse (2300011344412), we get a palindrome (4444442444444).

The spelling of 2144431100032 in words is "two trillion, one hundred forty-four billion, four hundred thirty-one million, one hundred thousand, thirty-two".