230444313444 has 144 divisors (see below), whose sum is σ = 657809006400. Its totient is φ = 70262349696.

The previous prime is 230444313401. The next prime is 230444313457. The reversal of 230444313444 is 444313444032.

230444313444 is a `hidden beast` number, since 2 + 304 + 4 + 4 + 3 + 1 + 344 + 4 = 666.

It is a super-2 number, since 2×230444313444² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230444313399 and 230444313408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320434 + ... + 750710.

It is an arithmetic number, because the mean of its divisors is an integer number (4568118100).

Almost surely, 2^230444313444 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 230444313444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328904503200).

230444313444 is an abundant number, since it is smaller than the sum of its proper divisors (427364692956).

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

230444313444 is a wasteful number, since it uses less digits than its factorization.

230444313444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430344 (or 430330 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 230444313444 its reverse (444313444032), we get a palindrome (674757757476).

The spelling of 230444313444 in words is "two hundred thirty billion, four hundred forty-four million, three hundred thirteen thousand, four hundred forty-four".