2345444445432 has 192 divisors, whose sum is σ = 6558733399680. Its totient is φ = 698320480000.

The previous prime is 2345444445397. The next prime is 2345444445451.

It is a happy number.

2345444445432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2345444445432² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38392303 + ... + 38453345.

It is an arithmetic number, because the mean of its divisors is an integer number (34160069790).

Almost surely, 2^{2345444445432} is an apocalyptic number.

2345444445432 is a gapful number since it is divisible by the number (22) 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 2345444445432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279366699840).

2345444445432 is an abundant number, since it is smaller than the sum of its proper divisors (4213288954248).

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

2345444445432 is a wasteful number, since it uses less digits than its factorization.

2345444445432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61306 (or 61291 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

The spelling of 2345444445432 in words is "two trillion, three hundred forty-five billion, four hundred forty-four million, four hundred forty-five thousand, four hundred thirty-two".