2312411334432 has 96 divisors (see below), whose sum is σ = 6177793224960. Its totient is φ = 757146328320.

The previous prime is 2312411334407. The next prime is 2312411334487. The reversal of 2312411334432 is 2344331142132.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2312411334393 and 2312411334402.

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, 7107807 + ... + 7426017.

It is an arithmetic number, because the mean of its divisors is an integer number (64352012760).

Almost surely, 2^{2312411334432} 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 2312411334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088896612480).

2312411334432 is an abundant number, since it is smaller than the sum of its proper divisors (3865381890528).

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

2312411334432 is a wasteful number, since it uses less digits than its factorization.

2312411334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319566 (or 319558 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 2312411334432 its reverse (2344331142132), we get a palindrome (4656742476564).

The spelling of 2312411334432 in words is "two trillion, three hundred twelve billion, four hundred eleven million, three hundred thirty-four thousand, four hundred thirty-two".