443135323531344 has 40 divisors (see below), whose sum is σ = 1175705880905440. Its totient is φ = 143719564387968.

The previous prime is 443135323531321. The next prime is 443135323531349.

443135323531344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443135323531344² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 443135323531293 and 443135323531302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443135323531349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124756564534 + ... + 124756568085.

It is an arithmetic number, because the mean of its divisors is an integer number (29392647022636).

Almost surely, 2^{443135323531344} is an apocalyptic number.

It is an amenable number.

443135323531344 is an abundant number, since it is smaller than the sum of its proper divisors (732570557374096).

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

443135323531344 is a wasteful number, since it uses less digits than its factorization.

443135323531344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249513132667 (or 249513132661 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 48.

The spelling of 443135323531344 in words is "four hundred forty-three trillion, one hundred thirty-five billion, three hundred twenty-three million, five hundred thirty-one thousand, three hundred forty-four".