12603623010304 has 78 divisors (see below), whose sum is σ = 25527299335440. Its totient is φ = 6222041739264.

The previous prime is 12603623010301. The next prime is 12603623010313. The reversal of 12603623010304 is 40301032630621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12603623010301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159539531737 + ... + 159539531815.

Almost surely, 2^{12603623010304} 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 12603623010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12763649667720).

12603623010304 is an abundant number, since it is smaller than the sum of its proper divisors (12923676325136).

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

12603623010304 is an frugal number, since it uses more digits than its factorization.

12603623010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 12603623010304 its reverse (40301032630621), we get a palindrome (52904655640925).

The spelling of 12603623010304 in words is "twelve trillion, six hundred three billion, six hundred twenty-three million, ten thousand, three hundred four".