2348578758432 has 24 divisors (see below), whose sum is σ = 6165019241136. Its totient is φ = 782859586112.

The previous prime is 2348578758419. The next prime is 2348578758443.

2348578758432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2348578758432² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12232180938 + ... + 12232181129.

It is an arithmetic number, because the mean of its divisors is an integer number (256875801714).

Almost surely, 2^{2348578758432} is an apocalyptic number.

It is an amenable number.

2348578758432 is an abundant number, since it is smaller than the sum of its proper divisors (3816440482704).

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

2348578758432 is a wasteful number, since it uses less digits than its factorization.

2348578758432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24464362080 (or 24464362072 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 66.

The spelling of 2348578758432 in words is "two trillion, three hundred forty-eight billion, five hundred seventy-eight million, seven hundred fifty-eight thousand, four hundred thirty-two".