12434034064 has 45 divisors (see below), whose sum is σ = 24546059811. Its totient is φ = 6101717760.

The previous prime is 12434034059. The next prime is 12434034139. The reversal of 12434034064 is 46043043421.

The square root of 12434034064 is 111508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 467424400 + 11966609664 = 21620^2 + 109392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27207724 + ... + 27208180.

Almost surely, 2^12434034064 is an apocalyptic number.

12434034064 is the 111508-th square number.

It is an amenable number.

12434034064 is a deficient number, since it is larger than the sum of its proper divisors (12112025747).

12434034064 is an frugal number, since it uses more digits than its factorization.

12434034064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 12434034064 its reverse (46043043421), we get a palindrome (58477077485).

It can be divided in two parts, 124340 and 34064, that added together give a square (158404 = 398²).

The spelling of 12434034064 in words is "twelve billion, four hundred thirty-four million, thirty-four thousand, sixty-four".