434225445046544 has 160 divisors (see below), whose sum is σ = 909615063276000. Its totient is φ = 200082375475200.

The previous prime is 434225445046543. The next prime is 434225445046579. The reversal of 434225445046544 is 445640544522434.

It can be written as a sum of positive squares in 16 ways, for example, as 41572990034944 + 392652455011600 = 6447712^2 + 19815460^2 .

It is a super-3 number, since 3×434225445046544³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434225445046544.

It is not an unprimeable number, because it can be changed into a prime (434225445046543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937140494 + ... + 937603730.

It is an arithmetic number, because the mean of its divisors is an integer number (5685094145475).

Almost surely, 2^{434225445046544} 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 434225445046544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454807531638000).

434225445046544 is an abundant number, since it is smaller than the sum of its proper divisors (475389618229456).

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

434225445046544 is a wasteful number, since it uses less digits than its factorization.

434225445046544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463741 (or 463735 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 56.

Adding to 434225445046544 its reverse (445640544522434), we get a palindrome (879865989568978).

The spelling of 434225445046544 in words is "four hundred thirty-four trillion, two hundred twenty-five billion, four hundred forty-five million, forty-six thousand, five hundred forty-four".