2134223314032 has 160 divisors (see below), whose sum is σ = 5630859601920. Its totient is φ = 696433478400.

The previous prime is 2134223314021. The next prime is 2134223314033. The reversal of 2134223314032 is 2304133224312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134223314033) 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 31 ways as a sum of consecutive naturals, for example, 252059463 + ... + 252067929.

It is an arithmetic number, because the mean of its divisors is an integer number (35192872512).

Almost surely, 2^{2134223314032} 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 2134223314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815429800960).

2134223314032 is an abundant number, since it is smaller than the sum of its proper divisors (3496636287888).

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

2134223314032 is a wasteful number, since it uses less digits than its factorization.

2134223314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2134223314032 its reverse (2304133224312), we get a palindrome (4438356538344).

The spelling of 2134223314032 in words is "two trillion, one hundred thirty-four billion, two hundred twenty-three million, three hundred fourteen thousand, thirty-two".