2346042406432 has 96 divisors (see below), whose sum is σ = 5151466252800. Its totient is φ = 1045180182528.

The previous prime is 2346042406429. The next prime is 2346042406439.

2346042406432 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2346042406439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14794638 + ... + 14952370.

It is an arithmetic number, because the mean of its divisors is an integer number (53661106800).

Almost surely, 2^{2346042406432} 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 2346042406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575733126400).

2346042406432 is an abundant number, since it is smaller than the sum of its proper divisors (2805423846368).

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

2346042406432 is a wasteful number, since it uses less digits than its factorization.

2346042406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159218 (or 159210 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

The spelling of 2346042406432 in words is "two trillion, three hundred forty-six billion, forty-two million, four hundred six thousand, four hundred thirty-two".