32334013031144 has 128 divisors (see below), whose sum is σ = 71311136071680. Its totient is φ = 13591102060800.

The previous prime is 32334013031123. The next prime is 32334013031147. The reversal of 32334013031144 is 44113031043323.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32334013031144.

It is not an unprimeable number, because it can be changed into a prime (32334013031147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62297327 + ... + 62814209.

It is an arithmetic number, because the mean of its divisors is an integer number (557118250560).

Almost surely, 2^{32334013031144} 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 32334013031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35655568035840).

32334013031144 is an abundant number, since it is smaller than the sum of its proper divisors (38977123040536).

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

32334013031144 is a wasteful number, since it uses less digits than its factorization.

32334013031144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517951 (or 517947 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 32334013031144 its reverse (44113031043323), we get a palindrome (76447044074467).

The spelling of 32334013031144 in words is "thirty-two trillion, three hundred thirty-four billion, thirteen million, thirty-one thousand, one hundred forty-four".