311432444234112 has 128 divisors (see below), whose sum is σ = 841544186400000. Its totient is φ = 102017258706944.

The previous prime is 311432444234083. The next prime is 311432444234137. The reversal of 311432444234112 is 211432444234113.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65653558 + ... + 70237130.

It is an arithmetic number, because the mean of its divisors is an integer number (6574563956250).

Almost surely, 2^{311432444234112} is an apocalyptic number.

311432444234112 is a gapful number since it is divisible by the number (32) 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 311432444234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420772093200000).

311432444234112 is an abundant number, since it is smaller than the sum of its proper divisors (530111742165888).

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

311432444234112 is a wasteful number, since it uses less digits than its factorization.

311432444234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586648 (or 4586636 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 311432444234112 its reverse (211432444234113), we get a palindrome (522864888468225).

Subtracting from 311432444234112 its reverse (211432444234113), we obtain a palindrome (99999999999999).

The spelling of 311432444234112 in words is "three hundred eleven trillion, four hundred thirty-two billion, four hundred forty-four million, two hundred thirty-four thousand, one hundred twelve".