2346404046432 has 192 divisors, whose sum is σ = 6315833684160. Its totient is φ = 762531840000.

The previous prime is 2346404046419. The next prime is 2346404046443.

2346404046432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2346404046432² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496171044 + ... + 496175772.

It is an arithmetic number, because the mean of its divisors is an integer number (32894967105).

Almost surely, 2^{2346404046432} 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 2346404046432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157916842080).

2346404046432 is an abundant number, since it is smaller than the sum of its proper divisors (3969429637728).

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

2346404046432 is a wasteful number, since it uses less digits than its factorization.

2346404046432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 2346404046432 in words is "two trillion, three hundred forty-six billion, four hundred four million, forty-six thousand, four hundred thirty-two".